Metrics for HairBSDF, Mp, upper

analyze600.0ms (4.2%)

Memory

28.8MiB live, 1 024.4MiB 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)

sample3.5s (24.2%)

Memory

-31.5MiB live, 3 622.8MiB allocated

Samples

2.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-<=: 477.0ms (22.5% of total)

const: 427.0ms (20.1% of total)

ival-div: 379.0ms (17.8% of total)

ival-sinh: 343.0ms (16.2% of total)

ival-mult: 296.0ms (13.9% of total)

ival-exp: 69.0ms (3.2% of total)

ival-and: 53.0ms (2.5% of total)

ival-neg: 40.0ms (1.9% of total)

ival-<: 19.0ms (0.9% of total)

exact: 16.0ms (0.8% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess349.0ms (2.4%)

Memory

-23.0MiB live, 413.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 182×	`lower-*.f64`
6 172×	`lower-*.f32`
2 208×	`lower-fma.f64`
2 208×	`lower-fma.f32`
2 152×	`lower-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	535	441
2	2083	420
0	19	22
0	31	22
1	67	22
2	197	21
3	779	21
4	3042	21
5	3714	21
6	5454	21
0	8263	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain428.0ms (3%)

Memory

7.9MiB live, 291.1MiB 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))`
3	(8.796577447067798e-16 6.800795603750798e-12 -9.959256145957731e-26 1.8026723259457907e-21 0.17492692172527313)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	(9.808009397669613e-24 7.02881629874653e-23 9.9276243743329e-31 4.022888333565788e-6 0.665706992149353)	-	`(/.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	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	88
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	85

Confusion

	Predicted +	Predicted -
+	0	0
-	6	250

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	6	0	250

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

263.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 72.0ms (35.3% of total)

ival-div: 69.0ms (33.8% of total)

ival-exp: 55.0ms (27% of total)

ival-sinh: 5.0ms (2.5% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

ival-true: 0.0ms (0% 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

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.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)

simplify665.0ms (4.7%)

Memory

9.5MiB live, 246.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.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×	`lower-*.f64`
6 172×	`lower-*.f32`
2 208×	`lower-fma.f64`
2 208×	`lower-fma.f32`
2 152×	`lower-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	31	92
1	67	92
2	197	90
3	779	90
4	3042	90
5	3714	90
6	5454	90
0	8263	90

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.3%)

Memory

-18.8MiB live, 99.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_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 sinTheta_i sinTheta_O) v)
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

34.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

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

ival-div: 8.0ms (34.1% of total)

ival-mult: 7.0ms (29.8% of total)

ival-exp: 4.0ms (17.1% of total)

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

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) 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 (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* 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 (/ (* 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)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(* (* (sinh (/ 1 v)) 2) v)
1.0ms	sinTheta_i	@	inf	(/ (* sinTheta_i sinTheta_O) v)
1.0ms	v	@	inf	(sinh (/ 1 v))
1.0ms	v	@	0	(sinh (/ 1 v))
1.0ms	v	@	0	(* (* (sinh (/ 1 v)) 2) v)

rewrite244.0ms (1.7%)

Memory

-0.6MiB live, 392.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 950×	`lower-*.f64`
3 942×	`lower-*.f32`
3 866×	`lower-/.f64`
3 860×	`lower-/.f32`
1 944×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
0	23	22
1	58	22
2	226	22
3	1403	22
0	8586	22

Stop Event

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

Counts

4 → 464

Calls

Call 1

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

Outputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(+.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (.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 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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 #s(literal -1 binary32) (.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)) #s(literal 1 binary32) (.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(fma.f32 (neg.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 (neg.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)))
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(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(-.f32 #s(literal 0 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(-.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)))
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(-.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/4 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1/4 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/4 binary32)) (.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 1/4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1/2 binary32))))
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(/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) #s(literal -2 binary32))
(/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (fma.f32 #s(literal 2 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (*.f32 #s(literal -2 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (.f32 #s(literal -2 binary32) (.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 4 binary32))
(/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
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(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -4 binary32)) #s(literal -4 binary32))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal 8 binary32))
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(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 2 binary32)) #s(literal 8 binary32))
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(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) #s(literal -2 binary32))
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(.f32 (.f32 (.f32 v #s(literal 2 binary32)) #s(literal 1/2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (neg.f32 v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (/.f32 v (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 v #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)))
(*.f32 (/.f32 v #s(literal 2 binary32)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.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 v #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 (.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 v (/.f32 #s(literal 2 binary32) (-.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 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 v (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (neg.f32 v)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 v))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal 1/2 binary32)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.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 v (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 v (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) #s(literal -2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (-.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (expm1.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (-.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (expm1.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(neg.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 #s(literal 0 binary32) (neg.f32 (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 0 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32))
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(fma.f32 #s(literal 0 binary32) (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.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 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 v) cosTheta_i))
(/.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 v) cosTheta_O))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))
(/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) (.f32 (neg.f32 v) (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O) #s(literal 0 binary32))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 (neg.f32 v) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (neg.f32 v)) (.f32 (neg.f32 v) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.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 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/.f32 #s(literal -1 binary32) v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 #s(literal -1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 cosTheta_O v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (neg.f32 v)))
(.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 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 cosTheta_i))
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 cosTheta_O))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (/.f32 cosTheta_O v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_O) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_i) #s(literal -1 binary32)))
(.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O)) (neg.f32 cosTheta_i))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_i)) (neg.f32 cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 v v))) v)

simplify216.0ms (1.5%)

Memory

18.6MiB live, 291.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 022×	`lower-fma.f64`
6 022×	`lower-fma.f32`
1 810×	`lower-*.f64`
1 810×	`lower-*.f32`
1 590×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	636
1	147	628
2	330	625
3	745	624
4	1726	624
5	4592	624
6	6875	624
0	8158	624

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))
(/ (* 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)
(* 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))))))
(/ (* 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)

Outputs
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) 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))) v)
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 5 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)
(* 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))))
(* 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))))
(* 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))))
(* 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 #s(literal 1/3 binary32) (*.f32 v v))) (+.f32 (/.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 #s(literal 1/3 binary32) (*.f32 v v))) (+.f32 (/.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)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

simplify85.0ms (0.6%)

Memory

-35.9MiB live, 175.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1021	8133
1	1022	8133
0	1022	8133

Stop Event

1×	saturated
1×	saturated

Counts

464 → 0

Calls

Call 1

Inputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(+.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (.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 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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 #s(literal -1 binary32) (.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)) #s(literal 1 binary32) (.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(fma.f32 (neg.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)))
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(-.f32 #s(literal 0 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(-.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)))
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(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (neg.f32 v)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 v))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal 1/2 binary32)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (pow.f32 v #s(literal -1/2 binary32))))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.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 v (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 v (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))) (/.f32 #s(literal 1/2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 v #s(literal 2 binary32)) #s(literal -2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (-.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (expm1.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)) (fma.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32) #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (-.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))) (-.f32 (expm1.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (expm1.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(neg.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 #s(literal 0 binary32) (neg.f32 (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+.f32 (.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 0 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32))
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(fma.f32 #s(literal 0 binary32) (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(/.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 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(/.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 v) cosTheta_i))
(/.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 v) cosTheta_O))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))
(/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) (.f32 (neg.f32 v) (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O) #s(literal 0 binary32))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 (neg.f32 v) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (neg.f32 v)) (.f32 (neg.f32 v) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.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 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/.f32 #s(literal -1 binary32) v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 #s(literal -1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 cosTheta_O v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (neg.f32 v)))
(.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 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 cosTheta_i))
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 cosTheta_O))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (/.f32 cosTheta_O v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_O) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_i) #s(literal -1 binary32)))
(.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O)) (neg.f32 cosTheta_i))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_i)) (neg.f32 cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 v v))) v)

Outputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.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 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(+.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (.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 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.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)))
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(fma.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
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(-.f32 #s(literal 0 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
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(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) #s(literal -2 binary32))
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(/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) #s(literal 4 binary32))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal 8 binary32))
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(.f32 (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (expm1.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))))
(neg.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
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(pow.f32 (exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(fma.f32 #s(literal 0 binary32) (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
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(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
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(/.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 v) cosTheta_i))
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(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
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(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/.f32 #s(literal -1 binary32) v) (neg.f32 (.f32 cosTheta_i cosTheta_O)))
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(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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(*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O (neg.f32 v)))
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(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (/.f32 cosTheta_i v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
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(*.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 cosTheta_i))
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 cosTheta_O))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)) (/.f32 cosTheta_i v))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)) (/.f32 cosTheta_O v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_O) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_i) #s(literal -1 binary32)))
(.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O)) (neg.f32 cosTheta_i))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_i)) (neg.f32 cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 v #s(literal 1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 v v))) v)

eval13.0ms (0.1%)

Memory: 1.5MiB live, 38.1MiB allocated
Compiler: Compiled 4 469 to 103 computations (97.7% saved)

prune8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	7	193

Accuracy

98.6%

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.0%	(/.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))))
	70.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
▶	64.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
▶	58.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
▶	58.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))

Compiler

Compiled 371 to 255 computations (31.3% saved)

simplify246.0ms (1.7%)

Memory

19.9MiB live, 372.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32))
✓	cost-diff	64	(.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
✓	cost-diff	512	(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
✓	cost-diff	64	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
✓	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 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v))
✓	cost-diff	512	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v)
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.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)) #s(literal 2 binary32))
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	2784	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Rules

5 686×	`lower-*.f64`
5 670×	`lower-*.f32`
3 660×	`lower-/.f64`
3 638×	`lower-/.f32`
2 214×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	466
0	66	452
1	129	452
2	368	434
3	1573	434
4	3357	434
5	3955	434
6	5262	434
0	8079	431

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.2%)

Memory

-30.3MiB live, 404.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	99.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v))
✓	accuracy	99.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v)
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.4%	(/.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))))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	100.0%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	accuracy	99.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.2%	(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal -1 binary32) v))

Samples

85.0ms

256×

valid

Compiler

Compiled 468 to 40 computations (91.5% saved)

Precisions

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

ival-div: 22.0ms (38% of total)

ival-mult: 16.0ms (27.6% of total)

ival-exp: 7.0ms (12.1% of total)

const: 6.0ms (10.4% of total)

ival-add: 3.0ms (5.2% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.3%)

Memory

29.6MiB live, 109.0MiB allocated

Counts

14 → 384

Calls

Call 1

Inputs
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) v))>
#<alt (exp.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))>
#<alt (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))>
#<alt (/.f32 #s(literal 1/3 binary32) (*.f32 v v))>
#<alt (/.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))))>
#<alt (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v)>
#<alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) v))>
#<alt (/.f32 #s(literal 1/6 binary32) (*.f32 v v))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)>
#<alt (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)>

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

Calls

96 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_i	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ 2 (/ 1/3 (* v v))))
4.0ms	cosTheta_O	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) 2)
3.0ms	sinTheta_i	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) 2)
2.0ms	cosTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) 2)
2.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (+ 2 (/ 1/3 (* v v))))

rewrite252.0ms (1.8%)

Memory

11.4MiB live, 484.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 112×	`lower-/.f64`
5 094×	`lower-/.f32`
3 880×	`lower-*.f64`
3 864×	`lower-*.f32`
2 294×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	132
0	62	124
1	212	121
2	1422	110
0	8330	107

Stop Event

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

Counts

14 → 500

Calls

Call 1

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

Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i 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 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) 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 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 v (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))) (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)) (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32))) (fma.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 (.f32 (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (neg.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 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
(.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) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32)))
(pow.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
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(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (neg.f32 v))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)))
(.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) v) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(.f32 (pow.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(/.f32 v (/.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (.f32 #s(literal 1 binary32) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (*.f32 v v)))) #s(literal 2 binary32))))
(/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) v)
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) v)
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32)))) (neg.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(/.f32 (neg.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32)))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(.f32 v (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
(.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) v))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 2 binary32))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) v)
(.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
(.f32 (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))
(.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))))
(.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) v))

simplify402.0ms (2.8%)

Memory

-11.4MiB live, 581.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 928×	`lower-fma.f64`
9 928×	`lower-fma.f32`
5 850×	`lower-*.f64`
5 850×	`lower-*.f32`
3 160×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	5286
1	1158	5250
2	4198	4929
3	7622	4927
0	8076	4841

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
1
(- 1 (/ 1 v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) 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)
(/ (* sinTheta_O sinTheta_i) v)
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (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))))))
(/ (* 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 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) 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)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (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)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (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)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) 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 (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) 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 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* 3 (* cosTheta_O (* cosTheta_i (* v (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))))
(* v (+ (* 3 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))) (* 18 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))))))
(* v (+ (* 3 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))) (* -108 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))))) (* 18 (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/12 (/ (* 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)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
2
2
2
2
2
2
2
2
2
2
2
2
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) 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)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (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)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (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)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) 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 (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))

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

simplify86.0ms (0.6%)

Memory

21.0MiB live, 132.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	841	8038
1	842	8038
0	842	8038

Stop Event

1×	saturated
1×	saturated

Counts

500 → 0

Calls

Call 1

Inputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i 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 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(.f32 (neg.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) 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 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 v (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))) (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)) (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (+.f32 (pow.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 3 binary32))) (fma.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 (.f32 (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (neg.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 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))))
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal -1 binary32))) (neg.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal -1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))) v)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) v)) (neg.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) v)) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 v))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) v)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (neg.f32 v))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)))
(.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) v) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(.f32 (pow.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 v (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(/.f32 v (/.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (.f32 #s(literal 1 binary32) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (*.f32 v v)))) #s(literal 2 binary32))))
(/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) v)
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) v)
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32)))) (neg.f32 (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(/.f32 (neg.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (*.f32 v #s(literal 2 binary32)))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))))
(.f32 v (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
(.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) v))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 2 binary32))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) v)
(.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
(.f32 (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))
(.f32 (.f32 v (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/216 binary32) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v))))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 (.f32 v v) (.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))))
(.f32 (.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v) (/.f32 #s(literal 1 binary32) v))

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

eval122.0ms (0.9%)

Memory: -7.9MiB live, 220.3MiB allocated
Compiler: Compiled 36 631 to 438 computations (98.8% saved)

prune38.0ms (0.3%)

Memory

13.2MiB live, 50.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1 619	13	1 632
Fresh	0	1	1
Picked	5	0	5
Done	0	1	1
Total	1 624	15	1 639

Accuracy

98.6%

Counts

1 639 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
	64.0%	(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	64.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
	64.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v v))) #s(literal 2 binary32)) v))
	70.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	58.4%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	64.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
▶	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.3%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
▶	58.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
▶	53.3%	(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
	64.0%	(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))

Compiler

Compiled 757 to 503 computations (33.6% saved)

simplify256.0ms (1.8%)

Memory

-1.1MiB live, 326.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i))))
✓	cost-diff	0	(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
✓	cost-diff	320	(fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))
✓	cost-diff	160	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32))
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
✓	cost-diff	512	(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
✓	cost-diff	0	(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)
✓	cost-diff	0	(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
✓	cost-diff	160	(fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Rules

5 554×	`lower-*.f64`
5 518×	`lower-*.f32`
4 402×	`lower-fma.f64`
4 398×	`lower-fma.f32`
1 982×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	353
0	89	345
1	183	342
2	490	334
3	1860	317
4	3924	317
5	4999	317
6	7126	317
0	8401	311

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))
#s(literal 1/2 binary32)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))
cosTheta_O
(fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)
(.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i))
sinTheta_i
(*.f32 sinTheta_O cosTheta_i)
sinTheta_O
cosTheta_i
v
#s(literal -1/2 binary32)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal 2 binary32)
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
v
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg.f32 v)
(fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 cosTheta_O #s(literal -18 binary32))
cosTheta_O
#s(literal -18 binary32)
(.f32 (.f32 v v) cosTheta_i)
(*.f32 v v)
cosTheta_i
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
#s(literal 3 binary32)
(*.f32 cosTheta_O cosTheta_i)

Outputs
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))
#s(literal 1/2 binary32)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1/2 binary32) v) #s(literal 1/2 binary32))) v))
(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1/2 binary32) v) #s(literal 1/2 binary32))))
cosTheta_O
(fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(.f32 cosTheta_i (fma.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1/2 binary32) v) #s(literal 1/2 binary32)))
(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)
(.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i))
(.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O))
sinTheta_i
(*.f32 sinTheta_O cosTheta_i)
(*.f32 cosTheta_i sinTheta_O)
sinTheta_O
cosTheta_i
v
#s(literal -1/2 binary32)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.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 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal 2 binary32)
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(.f32 cosTheta_i (.f32 (.f32 cosTheta_O (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))))
v
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i))))
(.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(neg.f32 v)
(fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(*.f32 cosTheta_O #s(literal -18 binary32))
cosTheta_O
#s(literal -18 binary32)
(.f32 (.f32 v v) cosTheta_i)
(.f32 cosTheta_i (.f32 v v))
(*.f32 v v)
cosTheta_i
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32)))
#s(literal 3 binary32)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)

localize200.0ms (1.4%)

Memory

19.7MiB live, 256.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
✓	accuracy	99.1%	(.f32 (.f32 v v) cosTheta_i)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
✓	accuracy	98.7%	(fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.3%	(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	100.0%	(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))
✓	accuracy	99.9%	(.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i))
✓	accuracy	99.7%	(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))
✓	accuracy	99.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
✓	accuracy	99.2%	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.2%	(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal -1 binary32) v))

Samples

120.0ms

256×

valid

Compiler

Compiled 361 to 54 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 48.0ms (48.7% of total)

ival-mult: 27.0ms (27.4% of total)

ival-exp: 13.0ms (13.2% of total)

const: 4.0ms (4.1% of total)

ival-add: 3.0ms (3% of total)

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

exact: 1.0ms (1% of total)

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

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

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

series66.0ms (0.5%)

Memory

8.3MiB live, 81.9MiB allocated

Counts

19 → 528

Calls

Call 1

Inputs
#<alt (exp.f32 (/.f32 #s(literal -1 binary32) v))>
#<alt (exp.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))>
#<alt (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))>
#<alt (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)>
#<alt (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)>
#<alt (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i))>
#<alt (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))>
#<alt (/.f32 #s(literal 1/6 binary32) (*.f32 v v))>
#<alt (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)>
#<alt (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))>
#<alt (.f32 (.f32 v v) cosTheta_i)>
#<alt (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))>

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

Calls

132 calls:

Time	Variable		Point	Expression
26.0ms	cosTheta_O	@	inf	(* 1/2 (* cosTheta_O cosTheta_i))
4.0ms	cosTheta_i	@	inf	(* sinTheta_i (* sinTheta_O cosTheta_i))
2.0ms	cosTheta_O	@	0	(/ (* cosTheta_O (+ (* (/ (* sinTheta_i (* sinTheta_O cosTheta_i)) v) -1/2) (* cosTheta_i 1/2))) v)
2.0ms	cosTheta_i	@	0	(/ (* cosTheta_O (+ (* (/ (* sinTheta_i (* sinTheta_O cosTheta_i)) v) -1/2) (* cosTheta_i 1/2))) v)
1.0ms	cosTheta_i	@	inf	(/ (* cosTheta_O (+ (* (/ (* sinTheta_i (* sinTheta_O cosTheta_i)) v) -1/2) (* cosTheta_i 1/2))) v)

rewrite328.0ms (2.3%)

Memory

-5.0MiB live, 515.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 916×	`lower-*.f64`
4 886×	`lower-*.f32`
4 558×	`lower-/.f64`
4 540×	`lower-/.f32`
4 242×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	147
0	77	147
1	241	146
2	1537	140
0	8188	137

Stop Event

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

Counts

19 → 579

Calls

Call 1

Inputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))
(*.f32 cosTheta_O cosTheta_i)
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v)
(.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i))
(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(.f32 (.f32 v v) cosTheta_i)
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))

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

simplify352.0ms (2.5%)

Memory

-26.3MiB live, 530.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 816×	`lower-fma.f64`
8 816×	`lower-fma.f32`
6 416×	`lower-*.f64`
6 416×	`lower-*.f32`
2 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	4712
1	676	4578
2	1995	4405
3	4045	4256
0	8073	4144

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
1
(- 1 (/ 1 v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(* v (- (exp (/ 1 v)) (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))))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* 1/2 (/ (* 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 (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))) v))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) (pow v 2))
(* 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))) 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) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))))
(* -1 (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))))
(* -1 (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))))
(* -1 (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) v)
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(* 1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 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 (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(* 3 (* cosTheta_O cosTheta_i))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 2))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 2))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* cosTheta_i (pow v 2))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))

Outputs
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
1
#s(literal 1 binary32)
(- 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1/2 binary32)) v)) v))
1
#s(literal 1 binary32)
(- 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1/2 binary32)) v)) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v)) v))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (exp (/ -1 v))))
(*.f32 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))))
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(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_O (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_O (+ (* -3 cosTheta_i) (* 18 (* cosTheta_i (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 2))))
(.f32 (.f32 v v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 2))))
(.f32 (.f32 v v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32))))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* (pow v 2) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 3 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* cosTheta_i (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (* cosTheta_i (+ (* -3 cosTheta_O) (* 18 (* cosTheta_O (pow v 2))))))
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* cosTheta_i (pow v 2))
(.f32 v (.f32 v cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))

simplify106.0ms (0.7%)

Memory

20.4MiB live, 174.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1191	10331
1	1192	10331
0	1192	10331

Stop Event

1×	saturated
1×	saturated

Counts

579 → 0

Calls

Call 1

Inputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))) (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32)))) (neg.f32 (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32) (-.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))))) (neg.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)))) (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32))))) (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))) (neg.f32 (neg.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))) (neg.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32)))))))))
(.f32 cosTheta_i (fma.f32 cosTheta_O #s(literal 3 binary32) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)))))
(.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v)))))))))
(.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) cosTheta_i) (/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(exp.f32 (.f32 (log.f32 (neg.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_i 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) (/.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1 binary32) v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v))
(.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1 binary32))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) (/.f32 sinTheta_O #s(literal 1 binary32)))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal -1 binary32)))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O #s(literal -1 binary32)))
(.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 (/.f32 sinTheta_O (neg.f32 v)) (/.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_i) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(.f32 v (.f32 v cosTheta_i))
(.f32 cosTheta_i (.f32 v v))
(.f32 (.f32 v v) cosTheta_i)
(.f32 (.f32 v cosTheta_i) v)
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))
(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i)
(.f32 (.f32 #s(literal 3 binary32) cosTheta_i) cosTheta_O)

Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
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(/.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32))) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32) (-.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))))))
(/.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32)))) (neg.f32 (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32) (-.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))))) (neg.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)))) (.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32))))) (neg.f32 (neg.f32 (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))) (neg.f32 (neg.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))))) (neg.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v)))))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal 9 binary32)) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (*.f32 cosTheta_O #s(literal 3 binary32)))))))))
(.f32 cosTheta_i (fma.f32 cosTheta_O #s(literal 3 binary32) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)))))
(.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32))))
(.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -5832 binary32)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) #s(literal 27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (.f32 v v))))) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 cosTheta_i (*.f32 v v)))))))))
(.f32 (.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32))))))
(.f32 (/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v)) (.f32 cosTheta_O #s(literal 3 binary32)))) cosTheta_i) (/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))) (-.f32 (.f32 cosTheta_O (.f32 #s(literal -18 binary32) (.f32 v v))) (.f32 cosTheta_O #s(literal 3 binary32)))))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(exp.f32 (.f32 (log.f32 (neg.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_i 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) (/.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1 binary32) v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v))
(.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1 binary32))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) (/.f32 sinTheta_O #s(literal 1 binary32)))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal -1 binary32)))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O #s(literal -1 binary32)))
(.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 (/.f32 sinTheta_O (neg.f32 v)) (/.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_i) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(.f32 v (.f32 v cosTheta_i))
(.f32 cosTheta_i (.f32 v v))
(.f32 (.f32 v v) cosTheta_i)
(.f32 (.f32 v cosTheta_i) v)
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))
(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32)))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))
(.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i)
(.f32 (.f32 #s(literal 3 binary32) cosTheta_i) cosTheta_O)

eval78.0ms (0.5%)

Memory: 17.7MiB live, 178.7MiB allocated
Compiler: Compiled 20 033 to 227 computations (98.9% saved)

prune26.0ms (0.2%)

Memory

-26.1MiB live, 49.4MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 166	10	1 176
Fresh	3	6	9
Picked	3	2	5
Done	0	1	1
Total	1 172	19	1 191

Accuracy

98.6%

Counts

1 191 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
▶	64.0%	(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.4%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
	52.2%	(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
	64.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
	70.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
▶	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
▶	76.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
	70.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
✓	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	67.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
▶	58.3%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
✓	58.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
▶	53.3%	(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
	64.0%	(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))

Compiler

Compiled 867 to 589 computations (32.1% saved)

simplify296.0ms (2.1%)

Memory

32.4MiB live, 346.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32)))))
✓	cost-diff	0	(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
✓	cost-diff	0	(/.f32 sinTheta_i (neg.f32 v))
✓	cost-diff	0	(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
✓	cost-diff	512	(.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))

Rules

4 814×	`lower-*.f64`
4 794×	`lower-*.f32`
3 724×	`lower-fma.f64`
3 720×	`lower-fma.f32`
2 270×	`lower-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	407
0	73	399
1	145	399
2	380	397
3	1420	389
4	2945	385
5	4947	385
6	7377	385
0	8075	385

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
#s(literal 1/60 binary32)
(/.f32 #s(literal 1/2520 binary32) (*.f32 v v))
#s(literal 1/2520 binary32)
(pow.f32 v #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#s(literal 2 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
sinTheta_O
(/.f32 sinTheta_i (neg.f32 v))
sinTheta_i
(neg.f32 v)
v
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
v
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32)))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg.f32 v)
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
cosTheta_O
(.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32)))
cosTheta_i
(fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))
#s(literal -18 binary32)
(*.f32 v v)
#s(literal 3 binary32)

Outputs
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32))))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32))))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
#s(literal 1/60 binary32)
(/.f32 #s(literal 1/2520 binary32) (*.f32 v v))
#s(literal 1/2520 binary32)
(pow.f32 v #s(literal 4 binary32))
#s(literal 4 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#s(literal 2 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 v))))
(.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_O) cosTheta_O) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(fma.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O) #s(literal 1 binary32))
sinTheta_O
(/.f32 sinTheta_i (neg.f32 v))
sinTheta_i
(neg.f32 v)
v
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(literal 2 binary32)
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
#s(literal 1/3 binary32)
(*.f32 v v)
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(.f32 v (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 v (.f32 v #s(literal -18 binary32)) #s(literal 3 binary32))))))
v
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32)))))
(.f32 cosTheta_O (.f32 cosTheta_i (.f32 (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (fma.f32 v (*.f32 v #s(literal -18 binary32)) #s(literal 3 binary32)))))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg.f32 v)
(.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))))
(.f32 cosTheta_i (.f32 cosTheta_O (fma.f32 v (*.f32 v #s(literal -18 binary32)) #s(literal 3 binary32))))
cosTheta_O
(.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32)))
(.f32 cosTheta_i (fma.f32 v (.f32 v #s(literal -18 binary32)) #s(literal 3 binary32)))
cosTheta_i
(fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))
(fma.f32 v (*.f32 v #s(literal -18 binary32)) #s(literal 3 binary32))
#s(literal -18 binary32)
(*.f32 v v)
#s(literal 3 binary32)

localize435.0ms (3.1%)

Memory

-175.6MiB live, 300.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
✓	accuracy	99.2%	(.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
✓	accuracy	98.7%	(fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))
✓	accuracy	99.6%	(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
✓	accuracy	99.4%	(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	99.6%	(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
✓	accuracy	99.4%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	100.0%	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	accuracy	99.8%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.0%	(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
✓	accuracy	98.9%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	98.8%	(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))
✓	accuracy	98.6%	(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))

Samples

364.0ms

256×

valid

Compiler

Compiled 417 to 46 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

const: 284.0ms (84.8% of total)

ival-div: 20.0ms (6% of total)

ival-mult: 17.0ms (5.1% of total)

ival-add: 7.0ms (2.1% of total)

ival-pow: 3.0ms (0.9% of total)

ival-exp: 2.0ms (0.6% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series87.0ms (0.6%)

Memory

-0.7MiB live, 79.2MiB allocated

Counts

15 → 420

Calls

Call 1

Inputs
#<alt (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))>
#<alt (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))>
#<alt (/.f32 #s(literal 1/3 binary32) (*.f32 v v))>
#<alt (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))>
#<alt (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))>
#<alt (*.f32 cosTheta_i cosTheta_O)>
#<alt (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))>
#<alt (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))>
#<alt (/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))>
#<alt (fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))>
#<alt (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))>
#<alt (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32)))>
#<alt (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))>

Outputs
#<alt (/ 1/2520 (pow v 2))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt (+ 1/60 (* 1/2520 (/ 1 (pow v 2))))>
#<alt (/ 1/2520 (pow v 6))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))>
#<alt (/ 1/60 (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ 1/60 (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/2520 (pow v 7))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 7))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* 1/3 (pow v 2))))) (pow v 7))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (pow v 7))>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 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 (* 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 (/ (* 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 (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* 3 (* cosTheta_O (* cosTheta_i v)))>
#<alt (* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))>
#<alt (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))>
#<alt (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (- (+ (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)>
#<alt (/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* v (- (* -18 (* cosTheta_O (* cosTheta_i v))) (* -18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))>
#<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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt 3>
#<alt (+ 3 (* -18 (pow v 2)))>
#<alt (+ 3 (* -18 (pow v 2)))>
#<alt (+ 3 (* -18 (pow v 2)))>
#<alt (* -18 (pow v 2))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* -18 (pow v 2))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* cosTheta_i (+ 3 (* -18 (pow v 2))))>
#<alt (* 3 cosTheta_i)>
#<alt (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))>
#<alt (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))>
#<alt (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))>
#<alt (* -18 (* cosTheta_i (pow v 2)))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* -18 (* cosTheta_i (pow v 2)))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))>
#<alt (* 3 (* cosTheta_O (* cosTheta_i (* v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))>
#<alt (* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))>
#<alt (* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))>
#<alt (* -18 (* cosTheta_O (* cosTheta_i (pow v 3))))>
#<alt (* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))>
#<alt (* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))>
#<alt (* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* sinTheta_O sinTheta_i)) (* 3 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))))>
#<alt (* -18 (* cosTheta_O (* cosTheta_i (pow v 3))))>
#<alt (* -1 (* (pow v 3) (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 18 (* cosTheta_O cosTheta_i)))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ (+ (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) v)) (* 18 (* cosTheta_O cosTheta_i)))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 3 (* sinTheta_O sinTheta_i))))) v)) v)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 18 (* cosTheta_O cosTheta_i)))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))>
#<alt (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))>
#<alt (+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2))))))) v)))))>
#<alt (+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2)))))) v)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))>
#<alt (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))>
#<alt (+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) v)))))>
#<alt (+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ 3 (* -18 (pow v 2)))))) v)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))>

Calls

105 calls:

Time	Variable		Point	Expression
32.0ms	cosTheta_i	@	inf	(* v (* (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* cosTheta_O (* cosTheta_i (+ (* -18 (* v v)) 3)))))
17.0ms	sinTheta_O	@	0	(/ (* (+ (* sinTheta_O (/ sinTheta_i (neg v))) 1) (/ (* cosTheta_i cosTheta_O) v)) (+ 2 (/ 1/3 (* v v))))
2.0ms	sinTheta_i	@	0	(* v (* (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* cosTheta_O (* cosTheta_i (+ (* -18 (* v v)) 3)))))
1.0ms	cosTheta_O	@	0	(* v (* (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* cosTheta_O (* cosTheta_i (+ (* -18 (* v v)) 3)))))
1.0ms	cosTheta_i	@	0	(/ (* (+ (* sinTheta_O (/ sinTheta_i (neg v))) 1) (/ (* cosTheta_i cosTheta_O) v)) (+ 2 (/ 1/3 (* v v))))

rewrite429.0ms (3%)

Memory

28.1MiB live, 653.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 820×	`lower-fma.f64`
5 816×	`lower-fma.f32`
4 970×	`lower-/.f64`
4 950×	`lower-/.f32`
4 488×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	151
0	69	145
1	266	145
2	2154	145
0	8515	137

Stop Event

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

Counts

15 → 663

Calls

Call 1

Inputs
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(fma.f32 #s(literal -18 binary32) (*.f32 v v) #s(literal 3 binary32))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))

Outputs
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (*.f32 v v))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v))) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 v)) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/2520 binary32) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2520 binary32) v) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1/2520 binary32) v) (/.f32 #s(literal 1 binary32) v) #s(literal 1/60 binary32))
(-.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))))
(-.f32 (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32))) (/.f32 #s(literal 1/3600 binary32) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (*.f32 v v))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))))
(/.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)))
(/.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (+.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/151200 binary32) (*.f32 v v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (*.f32 v v)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))))))
(/.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v))))))) (neg.f32 (+.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/151200 binary32) (*.f32 v v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) (neg.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))
(/.f32 (-.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/3600 binary32)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))))) (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/3600 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (fma.f32 (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))))))))
(.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32))))
(.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))))
(neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v (neg.f32 v)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (.f32 v (.f32 v (.f32 v v)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (.f32 v (.f32 v (.f32 v v)))) (/.f32 (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (.f32 v (.f32 v (*.f32 v v)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 v v) (.f32 v (neg.f32 v)))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (*.f32 v (neg.f32 v)))))
(-.f32 (/.f32 #s(literal 1/3600 binary32) (.f32 (.f32 v (.f32 v (.f32 v v))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (.f32 (.f32 v (.f32 v (.f32 v v))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))))))
(/.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 1 binary32) (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (.f32 (.f32 v v) (.f32 v (neg.f32 v))))
(/.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 (.f32 v (.f32 v (.f32 v v))) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (.f32 v (.f32 v (.f32 v v))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))
(/.f32 (.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) #s(literal 1 binary32)) (.f32 v (.f32 v (*.f32 v v))))
(/.f32 (.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) #s(literal 1 binary32)) (.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))) (neg.f32 (.f32 (.f32 v v) (.f32 v (neg.f32 v)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v))))))) (neg.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) (neg.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))))
(/.f32 (.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v))))) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v))))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))))
(/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v v)) (*.f32 v v))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) #s(literal 1 binary32))) (.f32 (.f32 v v) (*.f32 v (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (.f32 v (.f32 v (.f32 v v))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) #s(literal 1 binary32))) (neg.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 (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))) (neg.f32 (neg.f32 (.f32 (.f32 v v) (.f32 v (neg.f32 v))))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v)))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v))))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v)))))) (neg.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v v))) (*.f32 v (neg.f32 v)))
(.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (*.f32 v v)))))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (*.f32 v v)))))
(.f32 (neg.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 v (neg.f32 v)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v v)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (pow.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (.f32 v v)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))) #s(literal -1 binary32)))
(.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(.f32 (pow.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32))))
(.f32 (pow.f32 (/.f32 (.f32 v (.f32 v (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))))
(.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v v))) (/.f32 #s(literal 1 binary32) v))
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simplify601.0ms (4.2%)

Memory

7.9MiB live, 567.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 344×	`lower-fma.f64`
11 344×	`lower-fma.f32`
9 664×	`lower-*.f64`
9 664×	`lower-*.f32`
2 886×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	5925
1	1261	5852
2	4931	5245
0	9183	5069

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 1/2520 (pow v 2))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
1/60
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
1/60
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(/ 1/2520 (pow v 6))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/ 1/60 (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ 1/60 (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/2520 (pow v 7))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 7))
(/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* 1/3 (pow v 2))))) (pow v 7))
(/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (pow v 7))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/ (* 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 (/ (* 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)
(* 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) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* v (- (* -18 (* cosTheta_O (* cosTheta_i v))) (* -18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))
(* 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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
3
(+ 3 (* -18 (pow v 2)))
(+ 3 (* -18 (pow v 2)))
(+ 3 (* -18 (pow v 2)))
(* -18 (pow v 2))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* -18 (pow v 2))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* (pow v 2) (- (* 3 (/ 1 (pow v 2))) 18))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(* 3 cosTheta_i)
(+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))
(+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))
(+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i))
(* -18 (* cosTheta_i (pow v 2)))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* -18 (* cosTheta_i (pow v 2)))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
(* 3 (* cosTheta_O (* cosTheta_i (* v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (* (pow v 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* 3 (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 3))))
(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* sinTheta_O sinTheta_i)) (* 3 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 3))))
(* -1 (* (pow v 3) (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 3 (* sinTheta_O sinTheta_i))))) v)) v)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2))))))) v)))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2)))))) v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) v)))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ 3 (* -18 (pow v 2)))))) v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))

Outputs
(/ 1/2520 (pow v 2))
(/.f32 #s(literal 1/2520 binary32) (*.f32 v v))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
(/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (.f32 v v))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
(/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (.f32 v v))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 2))
(/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (.f32 v v))
1/60
#s(literal 1/60 binary32)
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
1/60
#s(literal 1/60 binary32)
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+ 1/60 (* 1/2520 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(/ 1/2520 (pow v 6))
(/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))
(/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))
(/ 1/60 (pow v 4))
(/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ 1/60 (pow v 4))
(/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/2520 (pow v 7))
(/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 7 binary32)))
(/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 7))
(/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))
(/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* 1/3 (pow v 2))))) (pow v 7))
(/.f32 (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))
(/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (pow v 7))
(/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (*.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.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))))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) 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))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
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(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v 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 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 (neg.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))
(fma.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))
(fma.f32 v (fma.f32 #s(literal 18 binary32) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* v (- (* -18 (* cosTheta_O (* cosTheta_i v))) (* -18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)) (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v) #s(literal -1/2 binary32)) (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32))))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v) #s(literal -1/2 binary32)) (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (.f32 v (.f32 v v))) (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #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))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) 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 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
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(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
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(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* cosTheta_i (+ 3 (* -18 (pow v 2))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(* 3 cosTheta_i)
(*.f32 cosTheta_i #s(literal 3 binary32))
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(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
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(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
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(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
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(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
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(* (pow v 2) (+ (* -18 cosTheta_i) (* 3 (/ cosTheta_i (pow v 2)))))
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(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
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(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
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(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
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(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(.f32 v (.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (/.f32 cosTheta_i (.f32 v v))) (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)) (/.f32 (.f32 #s(literal 18 binary32) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i)) v)))))
(* (pow v 3) (+ (* -18 (* cosTheta_O cosTheta_i)) (+ (* 18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* sinTheta_O sinTheta_i)) (* 3 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))))
(.f32 v (.f32 (.f32 v v) (fma.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (.f32 v v)) (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 3 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal -3 binary32)))) (/.f32 cosTheta_i (.f32 v (.f32 v v))))) (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)) (/.f32 (.f32 #s(literal 18 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) v)))))
(* -18 (* cosTheta_O (* cosTheta_i (pow v 3))))
(.f32 (.f32 v v) (.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -18 binary32)))))
(* -1 (* (pow v 3) (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(.f32 (.f32 v (.f32 v v)) (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)) (/.f32 (.f32 #s(literal 18 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i)) v)))
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(neg.f32 (.f32 v (.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (/.f32 cosTheta_i v)) (.f32 #s(literal 18 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i))) (neg.f32 v))))))
(* -1 (* (pow v 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (+ 3 (* -9 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (/ (* cosTheta_O (* cosTheta_i (+ (* -3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 3 (* sinTheta_O sinTheta_i))))) v)) v)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 18 (* cosTheta_O cosTheta_i)))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))
(fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2))))))) v)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 sinTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ 3 (* -18 (pow v 2)))))) v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 cosTheta_O (.f32 (.f32 (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (/.f32 cosTheta_i (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_i))) v)) (.f32 (.f32 sinTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 3 (* -18 (pow v 2)))))))) (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))))
(fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) v)))))
(fma.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (.f32 sinTheta_i (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) (neg.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))) v))))
(+ (* cosTheta_O (* cosTheta_i (* v (+ 3 (* -18 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ 3 (* -18 (pow v 2))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ 3 (* -18 (pow v 2))))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ 3 (* -18 (pow v 2)))))) v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (.f32 v v))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))) v))) (.f32 (.f32 sinTheta_O (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))
(* cosTheta_O (* cosTheta_i (* v (* (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (+ 3 (* -18 (pow v 2)))))))
(.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)))))))

simplify185.0ms (1.3%)

Memory

10.3MiB live, 246.1MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1348	14563
1	1349	14563
0	1349	14563

Stop Event

1×	saturated
1×	saturated

Counts

663 → 0

Calls

Call 1

Inputs
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (*.f32 v v))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v))) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 v)) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/2520 binary32) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2520 binary32) v) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1/2520 binary32) v) (/.f32 #s(literal 1 binary32) v) #s(literal 1/60 binary32))
(-.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 9 binary32) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))))))
(.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(exp.f32 (.f32 (log.f32 (/.f32 (neg.f32 v) (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 sinTheta_O (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (neg.f32 sinTheta_O) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (*.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) v)
(/.f32 (neg.f32 (*.f32 sinTheta_O #s(literal 1 binary32))) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) sinTheta_O)) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(.f32 sinTheta_O (.f32 (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(.f32 sinTheta_i (.f32 (/.f32 #s(literal -1 binary32) v) sinTheta_O))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1 binary32) v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(.f32 (/.f32 sinTheta_i (neg.f32 v)) (.f32 sinTheta_O #s(literal 1 binary32)))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1 binary32))
(.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))
(.f32 (/.f32 #s(literal -1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_O (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32)))
(*.f32 (/.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(+.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))
(+.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))))
(fma.f32 (.f32 v v) (.f32 #s(literal -18 binary32) cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 cosTheta_i #s(literal 3 binary32) (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32))))
(fma.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 #s(literal -18 binary32) (.f32 (.f32 v v) cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 #s(literal 3 binary32) cosTheta_i (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32))))
(fma.f32 (.f32 (.f32 v v) #s(literal -18 binary32)) cosTheta_i (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 v cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i (.f32 v v)) #s(literal -18 binary32) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i #s(literal -18 binary32)) (.f32 v v) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i (.f32 v #s(literal -18 binary32))) v (*.f32 cosTheta_i #s(literal 3 binary32)))
(-.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))))) (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (-.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (*.f32 cosTheta_i #s(literal 3 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32))))
(/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32))) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32)))))
(/.f32 (.f32 cosTheta_i (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32))) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) cosTheta_i) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) cosTheta_i) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (-.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (*.f32 cosTheta_i #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))))) (neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (neg.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)))) (neg.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(/.f32 (neg.f32 (.f32 cosTheta_i (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)))) (neg.f32 (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) cosTheta_i)) (neg.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) cosTheta_i)) (neg.f32 (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(/.f32 (fma.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))))) (fma.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)) (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32)))))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_i)
(.f32 v (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)) v))
(.f32 (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)) (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v)
(.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)))
(.f32 (.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) v))
(.f32 (.f32 v (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(.f32 (.f32 v (.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i cosTheta_O)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))) cosTheta_O)

Outputs
(+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))
(+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32)) #s(literal 1/3600 binary32)) (+.f32 #s(literal 1/216000 binary32) (/.f32 #s(literal 1/16003008000 binary32) (.f32 (.f32 v v) (.f32 v (.f32 v (*.f32 v v))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (-.f32 #s(literal 1/3600 binary32) (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v))) #s(literal 1/60 binary32))
(fma.f32 #s(literal -1/2520 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 v)) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/2520 binary32) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2520 binary32) v) #s(literal 1/60 binary32))
(fma.f32 (/.f32 #s(literal 1/2520 binary32) v) (/.f32 #s(literal 1 binary32) v) #s(literal 1/60 binary32))
(-.f32 (/.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)))))
(-.f32 (/.f32 (/.f32 #s(literal 1/6350400 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal 1/60 binary32))) (/.f32 #s(literal 1/3600 binary32) (-.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 9 binary32) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (.f32 (/.f32 (.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 9 binary32) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))))))
(.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))
(exp.f32 (.f32 (log.f32 (/.f32 (neg.f32 v) (.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 sinTheta_O (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (neg.f32 v) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (neg.f32 sinTheta_O) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (*.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)))) v)
(/.f32 (neg.f32 (*.f32 sinTheta_O #s(literal 1 binary32))) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) sinTheta_O)) (neg.f32 (/.f32 v (neg.f32 sinTheta_i))))
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(.f32 sinTheta_O (.f32 (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(.f32 sinTheta_i (.f32 (/.f32 #s(literal -1 binary32) v) sinTheta_O))
(.f32 sinTheta_i (.f32 sinTheta_O (/.f32 #s(literal -1 binary32) v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(.f32 (/.f32 sinTheta_i (neg.f32 v)) (.f32 sinTheta_O #s(literal 1 binary32)))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1 binary32))
(.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))
(.f32 (/.f32 #s(literal -1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 #s(literal -1 binary32) (/.f32 sinTheta_O (/.f32 v sinTheta_i)))
(*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_O (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32)))
(*.f32 (/.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 (/.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i (neg.f32 v)))
(.f32 (/.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(+.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))
(+.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))))
(fma.f32 (.f32 v v) (.f32 #s(literal -18 binary32) cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 cosTheta_i #s(literal 3 binary32) (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32))))
(fma.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 #s(literal -18 binary32) (.f32 (.f32 v v) cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 #s(literal 3 binary32) cosTheta_i (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32))))
(fma.f32 (.f32 (.f32 v v) #s(literal -18 binary32)) cosTheta_i (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 v cosTheta_i) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i (.f32 v v)) #s(literal -18 binary32) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i #s(literal -18 binary32)) (.f32 v v) (*.f32 cosTheta_i #s(literal 3 binary32)))
(fma.f32 (.f32 cosTheta_i (.f32 v #s(literal -18 binary32))) v (*.f32 cosTheta_i #s(literal 3 binary32)))
(-.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))))) (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (-.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (*.f32 cosTheta_i #s(literal 3 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)))) (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32))))
(/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32))) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32)))))
(/.f32 (.f32 cosTheta_i (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32))) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) cosTheta_i) (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) cosTheta_i) (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (-.f32 (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (*.f32 cosTheta_i #s(literal 3 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))))) (neg.f32 (-.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (neg.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)))) (neg.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(/.f32 (neg.f32 (.f32 cosTheta_i (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)))) (neg.f32 (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 #s(literal -5832 binary32) (.f32 v (.f32 v v))) (.f32 v (.f32 v v)) #s(literal 27 binary32)) cosTheta_i)) (neg.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) (-.f32 #s(literal 9 binary32) (.f32 (*.f32 v v) #s(literal -54 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 v (.f32 v (.f32 v v))) #s(literal 324 binary32) #s(literal -9 binary32)) cosTheta_i)) (neg.f32 (fma.f32 (*.f32 v v) #s(literal -18 binary32) #s(literal -3 binary32))))
(/.f32 (fma.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))))) (fma.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i #s(literal 3 binary32)) (-.f32 (.f32 (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32))) (.f32 cosTheta_i (.f32 (.f32 v v) #s(literal -18 binary32)))) (.f32 (.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_i (.f32 (*.f32 v v) #s(literal -18 binary32)))))))
(.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_i)
(.f32 v (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)) v))
(.f32 (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)) (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v)
(.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O)))
(.f32 (.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))) v))
(.f32 (.f32 v (.f32 cosTheta_i (.f32 (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)) cosTheta_O))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(.f32 (.f32 v (.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i cosTheta_O)) (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))
(.f32 (.f32 (.f32 v (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32)))) cosTheta_O)

eval104.0ms (0.7%)

Memory: -2.6MiB live, 273.8MiB allocated
Compiler: Compiled 28 235 to 447 computations (98.4% saved)

prune72.0ms (0.5%)

Memory

0.4MiB live, 161.1MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 419	21	1 440
Fresh	5	6	11
Picked	4	1	5
Done	0	3	3
Total	1 428	31	1 459

Accuracy

98.6%

Counts

1 459 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
	56.5%	(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
	64.0%	(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	64.0%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	76.6%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
	58.3%	(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
	58.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	64.0%	(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	64.0%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
✓	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
	76.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
	76.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
	76.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
	76.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))
	70.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
	76.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)))
	70.0%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
✓	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	67.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
✓	58.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
	52.2%	(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
	53.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
	51.7%	(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
	56.7%	(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
	64.0%	(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
	64.0%	(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
	53.3%	(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
	64.0%	(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))

Compiler

Compiled 2 024 to 849 computations (58.1% saved)

regimes152.0ms (1.1%)

Memory

-12.1MiB live, 255.7MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.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 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (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 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Outputs

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

Calls

8 calls:

45.0ms	(*.f32 cosTheta_i cosTheta_O)
17.0ms	cosTheta_i
16.0ms	sinTheta_i
15.0ms	v
15.0ms	cosTheta_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 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes147.0ms (1%)

Memory

-26.6MiB live, 238.3MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.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 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

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

Calls

8 calls:

27.0ms	sinTheta_i
26.0ms	(*.f32 cosTheta_i cosTheta_O)
25.0ms	cosTheta_O
15.0ms	sinTheta_O
14.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`cosTheta_O`
98.5%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes121.0ms (0.8%)

Memory

13.4MiB live, 204.7MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.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 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) v)))

Outputs

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

(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)))

Calls

8 calls:

24.0ms	cosTheta_i
15.0ms	sinTheta_O
14.0ms	cosTheta_O
14.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
13.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
76.6%	1	`cosTheta_i`
76.6%	1	`sinTheta_i`
76.6%	1	`sinTheta_O`
76.6%	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))`
76.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
76.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
76.6%	1	`cosTheta_O`
80.6%	2	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes13.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.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 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))

Outputs

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

(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
80.6%	2	`v`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes15.0ms (0.1%)

Memory

-8.4MiB live, 29.4MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (fma.f32 (.f32 cosTheta_O #s(literal -18 binary32)) (.f32 (.f32 v v) cosTheta_i) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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))))
(neg.f32 (.f32 (.f32 v v) (.f32 v (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) #s(literal 18 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -3 binary32)) (.f32 sinTheta_O (.f32 #s(literal 3 binary32) sinTheta_i))) (/.f32 cosTheta_i v)) (.f32 (fma.f32 #s(literal -9 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 3 binary32)) (neg.f32 (.f32 cosTheta_O cosTheta_i)))) (neg.f32 v))) (neg.f32 v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.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 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (fma.f32 (.f32 v v) (fma.f32 v (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 7 binary32)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (*.f32 v 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))

Outputs

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

(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (*.f32 (*.f32 v v) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
80.6%	2	`v`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes108.0ms (0.8%)

Memory

-13.4MiB live, 141.6MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -18 binary32) (.f32 v v) #s(literal 3 binary32))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))

Outputs

(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (*.f32 (*.f32 v v) (*.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)))

Calls

8 calls:

30.0ms	cosTheta_i
19.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	v
10.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
76.6%	1	`cosTheta_i`
76.6%	1	`sinTheta_O`
76.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
76.6%	1	`cosTheta_O`
76.6%	1	`sinTheta_i`
76.6%	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))`
76.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
76.6%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes208.0ms (1.5%)

Memory

-0.4MiB live, 121.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))) v)

Outputs

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

Calls

8 calls:

147.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	cosTheta_O
9.0ms	cosTheta_i
9.0ms	sinTheta_i
8.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
70.0%	1	`cosTheta_i`
70.0%	1	`v`
70.0%	1	`cosTheta_O`
70.0%	1	`sinTheta_O`
70.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
70.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
70.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
70.0%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes67.0ms (0.5%)

Memory

9.2MiB live, 140.9MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))

Outputs

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

Calls

8 calls:

12.0ms	sinTheta_O
9.0ms	cosTheta_i
9.0ms	sinTheta_i
8.0ms	cosTheta_O
8.0ms	v

Results

Accuracy	Segments	Branch
70.0%	1	`v`
70.0%	1	`sinTheta_i`
70.0%	1	`cosTheta_O`
70.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
70.0%	1	`sinTheta_O`
70.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
70.0%	1	`cosTheta_i`
70.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes93.0ms (0.7%)

Memory

0.7MiB live, 117.5MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))

Outputs

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

Calls

8 calls:

40.0ms	v
9.0ms	sinTheta_O
9.0ms	cosTheta_i
7.0ms	sinTheta_i
7.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
64.0%	1	`cosTheta_O`
64.0%	1	`sinTheta_i`
64.0%	1	`v`
64.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.0%	1	`sinTheta_O`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes62.0ms (0.4%)

Memory

1.6MiB live, 116.4MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 v (fma.f32 (.f32 v v) (fma.f32 (.f32 v v) (fma.f32 cosTheta_O (.f32 (.f32 v (.f32 v cosTheta_i)) #s(literal -648 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 108 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -18 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v sinTheta_i) (-.f32 #s(literal -2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))

Outputs

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

Calls

8 calls:

11.0ms	sinTheta_O
8.0ms	sinTheta_i
8.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	cosTheta_i
7.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
64.0%	1	`cosTheta_O`
64.0%	1	`sinTheta_i`
64.0%	1	`v`
64.0%	1	`cosTheta_i`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.0%	1	`sinTheta_O`
64.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes58.0ms (0.4%)

Memory

-19.5MiB live, 98.3MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(fma.f32 v (fma.f32 (.f32 v #s(literal -18 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) v))

Outputs
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))

Calls

8 calls:

10.0ms	(*.f32 sinTheta_i sinTheta_O)
9.0ms	cosTheta_i
6.0ms	sinTheta_O
6.0ms	sinTheta_i
6.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
64.0%	1	`cosTheta_O`
64.0%	1	`sinTheta_i`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`v`
64.0%	1	`sinTheta_O`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.0%	1	`cosTheta_i`
64.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes41.0ms (0.3%)

Memory

12.9MiB live, 92.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O cosTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/12 binary32))) (.f32 v v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)) (.f32 v v)))

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

Calls

8 calls:

6.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
64.0%	1	`sinTheta_i`
64.0%	1	`v`
64.0%	1	`cosTheta_O`
64.0%	1	`cosTheta_i`
64.0%	1	`sinTheta_O`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes25.0ms (0.2%)

Memory

20.2MiB live, 59.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 (.f32 v v) #s(literal -18 binary32) #s(literal 3 binary32))))
(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))

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

Calls

8 calls:

4.0ms	sinTheta_O
3.0ms	cosTheta_i
3.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
58.4%	1	`sinTheta_i`
58.4%	1	`v`
58.4%	1	`cosTheta_O`
58.4%	1	`cosTheta_i`
58.4%	1	`sinTheta_O`
58.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.4%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes38.0ms (0.3%)

Memory

-18.3MiB live, 20.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))

(*.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
58.4%	1	`cosTheta_O`
58.4%	1	`sinTheta_i`
58.4%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.4%	1	`sinTheta_O`
58.4%	1	`v`
58.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.4%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes12.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -1.8b remaining (-13.1%)

Threshold costs -1.8b (-13.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))
(.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -3 binary32))

Outputs
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`cosTheta_O`
56.7%	1	`sinTheta_i`
56.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
56.7%	1	`sinTheta_O`
56.7%	1	`v`
56.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.7%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.26444071531295776	0.26616600155830383

Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.26444071531295776	0.26616600155830383

Compiler

Compiled 30 to 27 computations (10% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.26444071531295776	0.26616600155830383

Compiler

Compiled 30 to 27 computations (10% saved)

simplify28.0ms (0.2%)

Memory

-28.2MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary32`
42×	`+-commutative_binary32`
26×	`sub-neg_binary32`
22×	`neg-sub0_binary32`
22×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	380
1	175	380
2	206	380
3	227	380
4	234	380
5	235	380

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (fma.f32 v (.f32 v #s(literal 1/60 binary32)) #s(literal 1/2520 binary32)) (pow.f32 v #s(literal 6 binary32)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))))
(if (<=.f32 v #s(literal 2222981/8388608 binary32)) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (*.f32 v v)))) v))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.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 (.f32 v v) (*.f32 v v)))) v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.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 (.f32 v v) (.f32 v v)))) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 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))) v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 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))) v)))
(.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 v sinTheta_O)))))
(.f32 sinTheta_O (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32)))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 sinTheta_O v)))))
(.f32 cosTheta_O (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (.f32 v v) #s(literal 1/3 binary32))) (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #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) #s(literal 1/2 binary32)) v)
(.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 3 binary32))))

soundness1.5s (10.4%)

Memory

42.3MiB live, 1 141.7MiB allocated

Rules

11 344×	`lower-fma.f64`
11 344×	`lower-fma.f32`
9 928×	`lower-fma.f64`
9 928×	`lower-fma.f32`
9 664×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	636
1	147	628
2	330	625
3	745	624
4	1726	624
5	4592	624
6	6875	624
0	8158	624
0	367	5286
1	1158	5250
2	4198	4929
3	7622	4927
0	8076	4841
0	228	4712
1	676	4578
2	1995	4405
3	4045	4256
0	8073	4144
0	389	5925
1	1261	5852
2	4931	5245
0	9183	5069

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

Compiler

Compiled 1 507 to 906 computations (39.9% saved)

preprocess323.0ms (2.3%)

Memory

-7.2MiB live, 455.3MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 2 984 to 1 764 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze600.0ms (4.2%)

sample3.5s (24.2%)

preprocess349.0ms (2.4%)

explain428.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify665.0ms (4.7%)

localize179.0ms (1.3%)

series13.0ms (0.1%)

rewrite244.0ms (1.7%)

simplify216.0ms (1.5%)

simplify85.0ms (0.6%)

eval13.0ms (0.1%)

prune8.0ms (0.1%)

simplify246.0ms (1.7%)

localize171.0ms (1.2%)

series49.0ms (0.3%)

rewrite252.0ms (1.8%)

simplify402.0ms (2.8%)

simplify86.0ms (0.6%)

eval122.0ms (0.9%)

prune38.0ms (0.3%)

simplify256.0ms (1.8%)

localize200.0ms (1.4%)

series66.0ms (0.5%)

rewrite328.0ms (2.3%)

simplify352.0ms (2.5%)

simplify106.0ms (0.7%)

eval78.0ms (0.5%)

prune26.0ms (0.2%)

simplify296.0ms (2.1%)

localize435.0ms (3.1%)

series87.0ms (0.6%)

rewrite429.0ms (3%)

simplify601.0ms (4.2%)

simplify185.0ms (1.3%)

eval104.0ms (0.7%)

prune72.0ms (0.5%)

regimes152.0ms (1.1%)

regimes147.0ms (1%)

regimes121.0ms (0.8%)

regimes13.0ms (0.1%)

regimes15.0ms (0.1%)

regimes108.0ms (0.8%)

regimes208.0ms (1.5%)

regimes67.0ms (0.5%)

regimes93.0ms (0.7%)

regimes62.0ms (0.4%)

regimes58.0ms (0.4%)

regimes41.0ms (0.3%)

regimes25.0ms (0.2%)

regimes38.0ms (0.3%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.2%)

soundness1.5s (10.4%)

preprocess323.0ms (2.3%)

end0.0ms (0%)

Profiling