Metrics for HairBSDF, Mp, upper

analyze677.0ms (4.3%)

Memory

31.7MiB live, 1 177.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.7s (16.8%)

Memory

-11.6MiB live, 3 360.5MiB allocated

Samples

1.9s

8 256×

valid

Precisions

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

ival-mult: 297.0ms (23.4% of total)

ival-div: 261.0ms (20.6% of total)

const: 218.0ms (17.2% of total)

ival-<=: 187.0ms (14.8% of total)

ival-exp: 82.0ms (6.5% of total)

ival-sinh: 82.0ms (6.5% of total)

ival-and: 53.0ms (4.2% of total)

ival-neg: 37.0ms (2.9% of total)

ival-<: 32.0ms (2.5% of total)

exact: 16.0ms (1.3% of total)

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

Bogosity

preprocess231.0ms (1.5%)

Memory

-6.2MiB live, 383.4MiB 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)

explain303.0ms (1.9%)

Memory

-19.4MiB live, 304.4MiB 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

65.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 15.0ms (36.2% of total)

ival-mult: 14.0ms (33.8% of total)

ival-sinh: 5.0ms (12.1% of total)

ival-exp: 4.0ms (9.6% of total)

ival-neg: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune3.0ms (0%)

Memory

-36.4MiB live, 1.4MiB 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)

simplify196.0ms (1.2%)

Memory

32.1MiB live, 345.5MiB 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)

localize67.0ms (0.4%)

Memory

3.4MiB live, 83.6MiB 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

50.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sinh: 20.0ms (51.2% of total)

ival-mult: 9.0ms (23% of total)

ival-div: 7.0ms (17.9% of total)

ival-exp: 2.0ms (5.1% of total)

ival-neg: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Memory

-14.9MiB live, 23.4MiB 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
13.0ms	v	@	-inf	(/ (* sinTheta_i sinTheta_O) v)
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))

rewrite321.0ms (2%)

Memory

15.9MiB live, 329.4MiB 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 (.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)

simplify343.0ms (2.2%)

Memory

14.8MiB live, 238.1MiB 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)

eval120.0ms (0.8%)

Memory: 7.0MiB live, 129.0MiB allocated
Compiler: Compiled 17 792 to 2 091 computations (88.2% saved)

prune631.0ms (4%)

Memory

-28.8MiB live, 258.8MiB allocated

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	519	41	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	42	561

Accuracy

99.6%

Counts

561 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (.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 v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (neg.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) 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 (.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))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (neg.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (neg.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (/.f32 #s(literal 2 binary32) v))))))
▶	98.7%	(/.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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #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)))))
	97.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 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)))))
	96.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 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))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))))))
	97.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (.f32 (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 (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 2 binary32)) v))
	98.6%	(/.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 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) #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))
	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))
	96.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (/.f32 (.f32 (-.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)) (-.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))))) #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 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #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 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i 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))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.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 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v v))) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_i)) (neg.f32 cosTheta_O))) (.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 #s(literal -1 binary32) (/.f32 v cosTheta_O)) (neg.f32 cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 2 977 to 1 947 computations (34.6% saved)

simplify614.0ms (3.9%)

Memory

8.4MiB live, 362.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(neg.f32 (/.f32 #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	192	(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))
✓	cost-diff	320	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) 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 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	704	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))
✓	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 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
✓	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	(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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))

Rules

7 060×	`lower-fma.f64`
7 060×	`lower-fma.f32`
6 676×	`lower-*.f64`
6 662×	`lower-*.f32`
2 952×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	523
0	74	508
1	165	496
2	559	486
3	2664	486
4	4198	486
5	5753	486
0	8837	486

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

localize252.0ms (1.6%)

Memory

13.9MiB live, 301.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))
✓	accuracy	97.7%	(cosh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	96.4%	(exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))
✓	accuracy	96.3%	(exp.f32 (/.f32 #s(literal 2 binary32) 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))
✓	accuracy	93.9%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))
✓	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))
✓	accuracy	94.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
✓	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	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

118.0ms

256×

valid

Compiler

Compiled 525 to 43 computations (91.8% saved)

Precisions

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

ival-div: 56.0ms (60.1% of total)

ival-mult: 21.0ms (22.5% of total)

ival-exp: 7.0ms (7.5% of total)

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

ival-neg: 2.0ms (2.1% of total)

ival-sinh: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory

-19.9MiB live, 56.5MiB allocated

Counts

13 → 324

Calls

Call 1

Inputs
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))>
#<alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))>
#<alt (exp.f32 (/.f32 #s(literal 2 binary32) v))>
#<alt (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))>
#<alt (cosh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))>

Outputs
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<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 (/ (* 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 (* 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)>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 v)))>
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))>
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>

Calls

81 calls:

Time	Variable		Point	Expression
21.0ms	v	@	0	(/ (- (exp (/ 2 v)) (exp (neg (/ 2 v)))) (/ (* 2 (cosh (/ 1 v))) v))
3.0ms	sinTheta_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)
1.0ms	cosTheta_O	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) 2)

rewrite305.0ms (1.9%)

Memory

11.4MiB live, 509.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 580×	`lower-*.f64`
5 566×	`lower-*.f32`
3 838×	`lower-/.f64`
3 814×	`lower-/.f32`
2 752×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	102
0	62	88
1	203	81
2	1211	81
0	8889	81

Stop Event

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

Counts

13 → 1 344

Calls

Call 1

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

Outputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (neg.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32))))
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(.f32 (/.f32 #s(literal 2 binary32) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 #s(literal 2 binary32) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 2 binary32) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)) (/.f32 #s(literal -4 binary32) (/.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) v)))
(*.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 #s(literal 2 binary32) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))))
(*.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 4 binary32) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))))
(.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 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal 1/2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 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 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (sinh.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 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1/2 binary32)))))
(.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1/2 binary32)))))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 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 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32)))) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))) #s(literal 2 binary32)))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 1/2 binary32)))))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))) (.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))) #s(literal 2 binary32)))
(.f32 (/.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32))))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1/2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1/2 binary32)))) (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) (/.f32 (*.f32 v #s(literal -1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal -1/2 binary32))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -4 binary32))) (.f32 v #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (.f32 #s(literal 4 binary32) v))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (neg.f32 v))
(.f32 (.f32 v #s(literal 4 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 v #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))
(.f32 (.f32 (*.f32 v #s(literal 1/2 binary32)) #s(literal 4 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(.f32 (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) #s(literal -1 binary32)) v)
(.f32 (.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32))) (/.f32 (.f32 v #s(literal -1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) v))
(.f32 (.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 v (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)))
(.f32 (.f32 (/.f32 (*.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6 binary32))) (exp.f32 (.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32)))))))
(.f32 (.f32 (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -4 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 2 binary32) v)))))

simplify420.0ms (2.7%)

Memory

-18.5MiB live, 574.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 426×	`lower-fma.f64`
8 426×	`lower-fma.f32`
7 196×	`lower-*.f64`
7 196×	`lower-*.f32`
2 538×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	3112
1	866	3062
2	2698	2977
3	6404	2972
0	8428	2934

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* 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)))
(/ (* 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)
(* 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)
(exp (/ 2 v))
(exp (/ 2 v))
(exp (/ 2 v))
(exp (/ 2 v))
1
(+ 1 (* 2 (/ 1 v)))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
1
(+ 1 (* 2 (/ 1 v)))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))
(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
1
(- 1 (* 2 (/ 1 v)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
1
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))

Outputs
(* 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 #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))))) (/.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))) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 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))))
(* 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 (+.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))))
(+ 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 (+.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))))
(+ 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)))))
(/ (* 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)
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 sinTheta_i (*.f32 v v)))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 #s(literal 1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32)) (.f32 v (.f32 v v)))) (neg.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 sinTheta_i (*.f32 v v)))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v))) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal -1/6 binary32) (.f32 v (.f32 v v))))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 sinTheta_i (*.f32 v v)))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)))) (neg.f32 (/.f32 sinTheta_i v))) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/6 binary32) (.f32 v (.f32 v v))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 sinTheta_i (*.f32 v v)))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_i (/.f32 sinTheta_i v)))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) v)) 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* 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)
(* 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)))))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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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 2 binary32) (/.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))))))
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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)))))
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(+ 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.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)
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(/ (* 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)
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(/ (* 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)
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (/.f32 #s(literal 4/3 binary32) (.f32 v (.f32 v v))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 v)))
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(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
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(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
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(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -4/3 binary32) (.f32 v (.f32 v v)))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v) #s(literal -2 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))))
(* 1/2 (+ (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
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 v #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 v (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) 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 2 binary32) (/.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 (+.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))))
(+ 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)))))

eval285.0ms (1.8%)

Memory: 13.0MiB live, 641.0MiB allocated
Compiler: Compiled 92 821 to 4 035 computations (95.7% saved)

prune604.0ms (3.8%)

Memory

18.2MiB live, 1 101.2MiB allocated

Pruning

58 alts after pruning (58 fresh and 0 done)

	Pruned	Kept	Total
New	2 813	45	2 858
Fresh	23	13	36
Picked	5	0	5
Done	1	0	1
Total	2 842	58	2 900

Accuracy

99.8%

Counts

2 900 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.4%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) v)) #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -1/2 binary32)))) v)) v)
	94.9%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.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 v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
	94.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	94.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	97.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) 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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	72.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))))))
	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))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #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 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	58.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))
	58.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) #s(literal 2 binary32))
	94.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (fma.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))))
	95.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v v))) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.4%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	94.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	94.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.7%	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	58.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))))
	58.5%	(/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	58.3%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1/2 binary32))
	58.3%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 4 binary32)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 v #s(literal 1/2 binary32))))
	58.4%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))
	58.3%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32))))
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (.f32 cosTheta_O (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32))))
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.f32 cosTheta_i (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32))))
	58.3%	(.f32 cosTheta_O (fma.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal -1/2 binary32)) (*.f32 v v))))
▶	58.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))

Compiler

Compiled 3 584 to 2 338 computations (34.8% saved)

simplify229.0ms (1.4%)

Memory

-38.2MiB live, 373.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(neg.f32 (/.f32 #s(literal 2 binary32) v))
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))
✓	cost-diff	384	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) 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_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	544	(/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))
✓	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 cosTheta_i (/.f32 v cosTheta_O)))
✓	cost-diff	192	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
✓	cost-diff	64	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))

Rules

6 370×	`lower-*.f64`
6 348×	`lower-*.f32`
2 684×	`lower-/.f64`
2 654×	`lower-/.f32`
1 974×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	402
0	85	385
1	185	371
2	686	371
3	4131	371
4	5577	371
5	7047	371
0	8312	371

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

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) 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 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(literal 4 binary32)
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O v)))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v)) #s(literal 1/2 binary32))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) 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 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_i
(/.f32 v cosTheta_O)
cosTheta_O
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) 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_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 cosTheta_O v)
cosTheta_O
(/.f32 #s(literal 1 binary32) cosTheta_i)
#s(literal 1 binary32)
cosTheta_i
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) 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 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 v (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(neg.f32 (/.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal -2 binary32) v)
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 (/.f32 #s(literal 2 binary32) v) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))
(cosh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)

localize175.0ms (1.1%)

Memory

18.3MiB live, 373.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))
✓	accuracy	97.7%	(cosh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	96.4%	(exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))
✓	accuracy	96.3%	(exp.f32 (/.f32 #s(literal 2 binary32) v))
✓	accuracy	99.3%	(/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))
✓	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))
✓	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 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))
✓	accuracy	99.6%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

94.0ms

256×

valid

Compiler

Compiled 404 to 49 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 34.0ms (48% of total)

ival-mult: 19.0ms (26.8% of total)

ival-exp: 8.0ms (11.3% of total)

ival-cosh: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

ival-sinh: 2.0ms (2.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

-3.8MiB live, 34.8MiB allocated

Counts

16 → 420

Calls

Call 1

Inputs
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (/.f32 cosTheta_i (/.f32 v cosTheta_O))>
#<alt (/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(literal 2 binary32))>
#<alt (exp.f32 (neg.f32 (/.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_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))>
#<alt (exp.f32 (/.f32 #s(literal 2 binary32) v))>
#<alt (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))>
#<alt (cosh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v))>

Outputs
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* 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)>
#<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 (/ (* 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)>
#<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)>
#<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 (* 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)>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt (exp (/ 2 v))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt (exp (neg (* 2 (/ 1 v))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 v)))>
#<alt (- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))>
#<alt (- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 v)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_O	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) 2)
2.0ms	v	@	0	(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
0.0ms	cosTheta_O	@	inf	(* cosTheta_O cosTheta_i)
0.0ms	cosTheta_i	@	inf	(* cosTheta_O cosTheta_i)
0.0ms	cosTheta_O	@	-inf	(* 1/2 (/ (* cosTheta_O cosTheta_i) v))

rewrite362.0ms (2.3%)

Memory

1.0MiB live, 595.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 954×	`lower-*.f64`
4 934×	`lower-*.f32`
3 920×	`lower-/.f64`
3 894×	`lower-/.f32`
2 328×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	115
0	71	103
1	224	96
2	1283	96
0	8638	96

Stop Event

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

Counts

16 → 1 432

Calls

Call 1

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

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

simplify399.0ms (2.5%)

Memory

38.7MiB live, 738.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 426×	`lower-fma.f64`
8 426×	`lower-fma.f32`
7 196×	`lower-*.f64`
7 196×	`lower-*.f32`
2 538×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	3616
1	866	3566
2	2698	3481
3	6406	3476
0	8430	3438

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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))
(* 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)
(/ (* 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)
(/ (* 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)
(* 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)
(/ (* 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)))
(* 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
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(/ (* 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)
(exp (/ 2 v))
(exp (/ 2 v))
(exp (/ 2 v))
(exp (/ 2 v))
1
(+ 1 (* 2 (/ 1 v)))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
1
(+ 1 (* 2 (/ 1 v)))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
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(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
(exp (neg (* 2 (/ 1 v))))
1
(- 1 (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
1
(- 1 (* 2 (/ 1 v)))
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(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
1
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(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 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)))))
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2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))

Outputs
(* 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)
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(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
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(/ (+ 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 #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))))) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(/ 1 v)
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(/.f32 (+.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))) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 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))))
(* 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 (+.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))))
(+ 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 (+.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))))
(+ 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 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
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(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 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 cosTheta_i v) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (*.f32 v 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))))))
(fma.f32 sinTheta_O (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_i (/.f32 cosTheta_i (.f32 v v))) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/4 binary32)) (.f32 v (.f32 v v))))) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 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 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v (.f32 v v))))) #s(literal 1/4 binary32)))) (.f32 cosTheta_O (fma.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (.f32 v v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v v))) 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)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v (.f32 v v))))) #s(literal -1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) #s(literal 1/4 binary32))) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i v)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) 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))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) v)) #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)))) v)) 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))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal -1/4 binary32)))) v)) v))) v)
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_O (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (neg.f32 (/.f32 sinTheta_O v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal -1/6 binary32) (.f32 v (.f32 v v))))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/6 binary32) (.f32 v (.f32 v v))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (/.f32 (.f32 sinTheta_i sinTheta_i) v)))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) v)) 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 (+.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))))
(+ 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 (+.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))))
(+ 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 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(exp (/ 2 v))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+ 1 (+ (* 2 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (/.f32 #s(literal 4/3 binary32) (.f32 v (.f32 v v))))
1
#s(literal 1 binary32)
(+ 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
(+ 1 (+ (* 2 (/ 1 v)) (/ 2 (pow v 2))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 v))) v)) 2) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 4/3 binary32) v)) v)) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(exp (neg (* 2 (/ 1 v))))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(- (+ 1 (/ 2 (pow v 2))) (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))
(- (+ 1 (/ 2 (pow v 2))) (+ (* 2 (/ 1 v)) (* 4/3 (/ 1 (pow v 3)))))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -4/3 binary32) (.f32 v (.f32 v v)))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 v)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) v) #s(literal -2 binary32)) v))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4/3 (/ 1 v))) v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -4/3 binary32) v)) v) #s(literal -2 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))))
(* 1/2 (+ (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
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 v #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/24 (pow v 4)) (* 1/2 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))))
(+ 1 (+ (/ 1/24 (pow v 4)) (+ (* 1/2 (/ 1 (pow v 2))) (* 1/720 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/24 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/720 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* v (- (exp (/ 2 v)) (exp (neg (* 2 (/ 1 v)))))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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 2 binary32) (/.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 (+.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))))
(+ 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)))))

eval257.0ms (1.6%)

Memory: -24.0MiB live, 551.5MiB allocated
Compiler: Compiled 61 295 to 3 805 computations (93.8% saved)

prune391.0ms (2.5%)

Memory

2.0MiB live, 800.7MiB allocated

Pruning

60 alts after pruning (59 fresh and 1 done)

	Pruned	Kept	Total
New	2 138	44	2 182
Fresh	38	15	53
Picked	4	1	5
Done	0	0	0
Total	2 180	60	2 240

Accuracy

99.8%

Counts

2 240 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.9%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.4%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32)) (/.f32 cosTheta_O (/.f32 #s(literal -1 binary32) cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 v v))) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) cosTheta_i)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 3 binary32)) (pow.f32 (.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 (.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 v #s(literal 1/2 binary32)) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))))
▶	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal -1 binary32))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.4%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.4%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.4%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	97.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	72.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	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))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal -1 binary32))))
	94.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	58.3%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	58.3%	(/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O)))
	58.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
	58.5%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	58.3%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v) cosTheta_O)
	58.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i)) cosTheta_O)
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	58.3%	(.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) (/.f32 v cosTheta_O))))
	58.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O)))
	58.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v))
	58.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)))
	58.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v))
✓	58.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	58.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))))
▶	58.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
▶	58.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))

Compiler

Compiled 3 108 to 2 059 computations (33.8% saved)

simplify308.0ms (2%)

Memory

18.4MiB live, 404.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	cost-diff	352	(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	cost-diff	544	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	cost-diff	0	(fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
✓	cost-diff	192	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) cosTheta_O)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
✓	cost-diff	704	(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	160	(.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O)))
✓	cost-diff	192	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))

Rules

9 378×	`lower-fma.f64`
9 376×	`lower-fma.f32`
4 522×	`lower-*.f64`
4 498×	`lower-*.f32`
2 824×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	336
0	79	324
1	171	288
2	643	286
3	4361	286
4	5968	286
0	8029	286

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1%)

Memory

22.5MiB live, 218.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	94.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) cosTheta_O)
✓	accuracy	99.8%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
✓	accuracy	99.6%	(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
✓	accuracy	99.5%	(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O))
✓	accuracy	100.0%	(/.f32 cosTheta_O v)
✓	accuracy	99.8%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
✓	accuracy	99.6%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	accuracy	99.4%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
✓	accuracy	99.1%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

79.0ms

256×

valid

Compiler

Compiled 341 to 47 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 31.0ms (52.9% of total)

ival-mult: 19.0ms (32.4% of total)

ival-exp: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

ival-sinh: 2.0ms (3.4% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series72.0ms (0.5%)

Memory

-5.7MiB live, 36.4MiB allocated

Counts

16 → 444

Calls

Call 1

Inputs
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))>
#<alt (/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))>
#<alt (*.f32 (/.f32 cosTheta_O v) cosTheta_i)>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))>
#<alt (/.f32 cosTheta_O v)>
#<alt (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O))>
#<alt (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v))>
#<alt (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))>
#<alt (/.f32 #s(literal -1 binary32) cosTheta_O)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))>
#<alt (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)>
#<alt (/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))>
#<alt (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_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 (* 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)>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<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)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) 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))>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>

Calls

111 calls:

Time	Variable		Expression
38.0ms	v	@	(/ (* 1 (* (/ 1 v) (* cosTheta_i cosTheta_O))) (/ (* (sinh (/ 1 v)) 4) (/ 2 v)))
2.0ms	cosTheta_i	@	(/ (* 1 (* (/ 1 v) (* cosTheta_i cosTheta_O))) (/ (* (sinh (/ 1 v)) 4) (/ 2 v)))
2.0ms	cosTheta_i	@	(/ (* (+ (* (/ sinTheta_O v) (neg sinTheta_i)) 1) (/ 1 (/ v (* cosTheta_i cosTheta_O)))) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	cosTheta_O	@	(/ (* (+ (* (/ sinTheta_O v) (neg sinTheta_i)) 1) (/ 1 (/ v (* cosTheta_i cosTheta_O)))) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	sinTheta_O	@	(/ (* (+ (* (/ sinTheta_O v) (neg sinTheta_i)) 1) (/ 1 (/ v (* cosTheta_i cosTheta_O)))) (* (* (sinh (/ 1 v)) 2) v))

rewrite319.0ms (2%)

Memory

-16.8MiB live, 456.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 480×	`lower-*.f64`
3 458×	`lower-*.f32`
3 434×	`lower-/.f64`
3 406×	`lower-/.f32`
2 792×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	138
0	69	130
1	241	110
2	1723	110
3	7413	110
0	8017	109

Stop Event

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

Counts

16 → 1 070

Calls

Call 1

Inputs
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(/.f32 cosTheta_O v)
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) cosTheta_O)) (/.f32 cosTheta_i v)))
(/.f32 #s(literal -1 binary32) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

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

simplify401.0ms (2.5%)

Memory

-9.8MiB live, 632.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 890×	`lower-fma.f64`
8 890×	`lower-fma.f32`
6 958×	`lower-*.f64`
6 958×	`lower-*.f32`
3 016×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	5028
1	646	4829
2	2238	4246
3	6290	4166
0	8460	4150

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

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))
(* 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)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O 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)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) 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 v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
cosTheta_O
(/ (* 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))
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ -1 cosTheta_O)
(/ (* 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)
(* 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) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 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) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* 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) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)

Outputs
(* 1/2 (- (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 #s(literal 1/6 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 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))) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 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))))
(* 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 (+.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))))
(+ 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 (+.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))))
(+ 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)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (.f32 v v))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -7/360 binary32)))) (pow.f32 v #s(literal 4 binary32)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 31/15120 binary32)) (pow.f32 v #s(literal 6 binary32)))) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -31/15120 binary32)) (pow.f32 v #s(literal 6 binary32)))) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (.f32 v v))))) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* 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)
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(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
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(+.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 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v (*.f32 v v))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v (*.f32 v v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v (*.f32 v v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 v cosTheta_i) (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)))) (.f32 v (.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 v cosTheta_i) (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)))) (.f32 v (.f32 v 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))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) 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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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (neg.f32 cosTheta_i) cosTheta_i)) (.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) (/.f32 #s(literal -31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) (/.f32 #s(literal -31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

eval133.0ms (0.8%)

Memory: 55.3MiB live, 314.7MiB allocated
Compiler: Compiled 37 683 to 2 487 computations (93.4% saved)

prune446.0ms (2.8%)

Memory

0.3MiB live, 680.4MiB allocated

Pruning

76 alts after pruning (73 fresh and 3 done)

	Pruned	Kept	Total
New	1 607	46	1 653
Fresh	27	27	54
Picked	3	2	5
Done	0	1	1
Total	1 637	76	1 713

Accuracy

99.9%

Counts

1 713 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) v)
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	92.9%	(/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	95.0%	(/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	62.9%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	68.0%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (.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))
	62.9%	(/.f32 (.f32 (fma.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 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))
	58.4%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	56.4%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))) v)
	94.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -2 binary32)) (*.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -2 binary32) v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32)) (/.f32 cosTheta_O (/.f32 #s(literal -1 binary32) cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) cosTheta_i)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 v (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (sinh.f32 (/.f32 #s(literal 2 binary32) v))))
	98.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	58.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	58.3%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	58.4%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.5%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	58.3%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	94.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	97.4%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	97.9%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 2 binary32) v)))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	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))))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 2 binary32) v))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) v))))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	70.0%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
✓	98.8%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (.f32 v #s(literal 1/2 binary32))) (.f32 #s(literal 4 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	98.8%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	64.0%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.6%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 #s(literal 4 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 v #s(literal 1/2 binary32))))))
	98.5%	(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
	58.3%	(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) cosTheta_O))
	93.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 cosTheta_i (neg.f32 cosTheta_O))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	58.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	93.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)) v)))
	93.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	58.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
	93.0%	(/.f32 #s(literal 1 binary32) (.f32 v (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	58.5%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	93.3%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (.f32 v (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
	98.6%	(.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
	97.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v v)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v v)) (.f32 (/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	58.3%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) v) cosTheta_O)
	98.5%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
	98.5%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
	58.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i)) cosTheta_O)
	58.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	58.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v))
	58.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)))
	58.7%	(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
✓	58.3%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	58.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))))
	58.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i))
✓	58.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
	58.3%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))

Compiler

Compiled 5 891 to 1 814 computations (69.2% saved)

regimes440.0ms (2.8%)

Memory

13.5MiB live, 720.5MiB allocated

Counts

177 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

65.0ms	cosTheta_i
52.0ms	v
49.0ms	sinTheta_i
49.0ms	(*.f32 cosTheta_i cosTheta_O)
48.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes334.0ms (2.1%)

Memory

3.1MiB live, 441.5MiB allocated

Counts

115 → 1

Calls

Call 1

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

Outputs

(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))

Calls

8 calls:

50.0ms	cosTheta_O
47.0ms	sinTheta_O
46.0ms	cosTheta_i
40.0ms	v
33.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes222.0ms (1.4%)

Memory

-0.5MiB live, 315.2MiB allocated

Counts

80 → 1

Calls

Call 1

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

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

Calls

8 calls:

42.0ms	(*.f32 sinTheta_i sinTheta_O)
34.0ms	(*.f32 cosTheta_i cosTheta_O)
28.0ms	cosTheta_i
24.0ms	sinTheta_i
23.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes173.0ms (1.1%)

Memory

-48.7MiB live, 341.3MiB allocated

Counts

73 → 1

Calls

Call 1

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

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

Calls

8 calls:

31.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	cosTheta_O
20.0ms	cosTheta_i
20.0ms	sinTheta_i
20.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes182.0ms (1.2%)

Memory

30.0MiB live, 259.6MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	v
38.0ms	sinTheta_O
20.0ms	cosTheta_O
18.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
18.0ms	sinTheta_i

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)

regimes95.0ms (0.6%)

Memory

-0.4MiB live, 202.3MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs

(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))

Calls

8 calls:

17.0ms	sinTheta_O
12.0ms	cosTheta_i
12.0ms	v
12.0ms	sinTheta_i
11.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
70.0%	1	`cosTheta_O`
70.0%	1	`sinTheta_i`
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	`cosTheta_i`
70.0%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes83.0ms (0.5%)

Memory

-18.2MiB live, 176.6MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))

Calls

8 calls:

11.0ms	(/.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))
11.0ms	sinTheta_i
11.0ms	sinTheta_O
11.0ms	cosTheta_i
10.0ms	v

Results

Accuracy	Segments	Branch
64.0%	1	`sinTheta_i`
64.0%	1	`cosTheta_O`
64.0%	1	`sinTheta_O`
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 sinTheta_i sinTheta_O)`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.0%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes79.0ms (0.5%)

Memory

14.1MiB live, 131.2MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	sinTheta_i
11.0ms	cosTheta_O
10.0ms	sinTheta_O
9.0ms	cosTheta_i
9.0ms	v

Results

Accuracy	Segments	Branch
64.0%	1	`cosTheta_O`
64.0%	1	`cosTheta_i`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`sinTheta_i`
64.0%	1	`v`
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))`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes89.0ms (0.6%)

Memory

-5.4MiB live, 112.3MiB allocated

Counts

30 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

8 calls:

19.0ms	cosTheta_i
18.0ms	cosTheta_O
9.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
9.0ms	sinTheta_O
9.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
64.0%	1	`cosTheta_O`
64.0%	1	`v`
64.0%	1	`sinTheta_i`
64.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.0%	1	`cosTheta_i`
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))`
64.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes67.0ms (0.4%)

Memory

21.6MiB live, 136.2MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
58.7%	1	`cosTheta_O`
58.7%	1	`sinTheta_i`
58.7%	1	`cosTheta_i`
58.7%	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))`
58.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.7%	1	`v`
58.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.7%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes66.0ms (0.4%)

Memory

3.0MiB live, 126.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	sinTheta_i
8.0ms	(/.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))
8.0ms	v
7.0ms	cosTheta_i
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
58.7%	1	`cosTheta_O`
58.7%	1	`cosTheta_i`
58.7%	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))`
58.7%	1	`sinTheta_O`
58.7%	1	`v`
58.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.7%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes59.0ms (0.4%)

Memory

-0.2MiB live, 77.6MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

8 calls:

18.0ms	sinTheta_i
6.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	v
6.0ms	sinTheta_O
6.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
58.7%	1	`cosTheta_O`
58.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.7%	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))`
58.7%	1	`sinTheta_i`
58.7%	1	`sinTheta_O`
58.7%	1	`cosTheta_i`
58.7%	1	`v`
58.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes62.0ms (0.4%)

Memory

-17.9MiB live, 60.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	v
6.0ms	cosTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_i
5.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
58.5%	1	`cosTheta_i`
58.5%	1	`cosTheta_O`
58.5%	1	`sinTheta_i`
58.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.5%	1	`sinTheta_O`
58.5%	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))`
58.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.5%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes30.0ms (0.2%)

Memory

16.0MiB live, 54.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	(*.f32 cosTheta_i cosTheta_O)
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
58.4%	1	`sinTheta_i`
58.4%	1	`cosTheta_i`
58.4%	1	`cosTheta_O`
58.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.4%	1	`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 sinTheta_i sinTheta_O)`
58.4%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes40.0ms (0.3%)

Memory

-11.3MiB live, 27.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	v
2.0ms	sinTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	cosTheta_O

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)

regimes15.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

8 calls:

2.0ms	cosTheta_i
2.0ms	v
2.0ms	sinTheta_i
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))
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
58.3%	1	`cosTheta_O`
58.3%	1	`sinTheta_O`
58.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.3%	1	`sinTheta_i`
58.3%	1	`v`
58.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.3%	1	`cosTheta_i`
58.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes33.0ms (0.2%)

Memory

-15.2MiB live, 23.0MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	(*.f32 cosTheta_i cosTheta_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))
2.0ms	v
1.0ms	sinTheta_O
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
58.3%	1	`cosTheta_O`
58.3%	1	`sinTheta_i`
58.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.3%	1	`sinTheta_O`
58.3%	1	`v`
58.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.3%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify14.0ms (0.1%)

Memory

-17.1MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary32`
18×	`+-commutative_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`
10×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	232
1	120	232
2	132	232
3	141	232
4	147	232
5	149	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (+.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.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 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (/.f32 (.f32 #s(literal 4 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (+.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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))

soundness1.7s (10.6%)

Memory

14.1MiB live, 1 315.1MiB allocated

Rules

8 890×	`lower-fma.f64`
8 890×	`lower-fma.f32`
8 426×	`lower-fma.f64`
8 426×	`lower-fma.f32`
8 426×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	138
0	69	130
1	241	110
2	1723	110
3	7413	110
0	8017	109
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	218	5028
1	646	4829
2	2238	4246
3	6290	4166
0	8460	4150
0	35	102
0	62	88
1	203	81
2	1211	81
0	8889	81
0	40	115
0	71	103
1	224	96
2	1283	96
0	8638	96
0	304	3112
1	866	3062
2	2698	2977
3	6404	2972
0	8428	2934
0	15	22
0	23	22
1	58	22
2	226	22
3	1403	22
0	8586	22
0	304	3616
1	866	3566
2	2698	3481
3	6406	3476
0	8430	3438

Stop Event

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

Compiler

Compiled 1 248 to 802 computations (35.7% saved)

preprocess286.0ms (1.8%)

Memory

5.8MiB live, 723.7MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 3 256 to 2 042 computations (37.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze677.0ms (4.3%)

sample2.7s (16.8%)

preprocess231.0ms (1.5%)

explain303.0ms (1.9%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify196.0ms (1.2%)

localize67.0ms (0.4%)

series26.0ms (0.2%)

rewrite321.0ms (2%)

simplify343.0ms (2.2%)

eval120.0ms (0.8%)

prune631.0ms (4%)

simplify614.0ms (3.9%)

localize252.0ms (1.6%)

series47.0ms (0.3%)

rewrite305.0ms (1.9%)

simplify420.0ms (2.7%)

eval285.0ms (1.8%)

prune604.0ms (3.8%)

simplify229.0ms (1.4%)

localize175.0ms (1.1%)

series17.0ms (0.1%)

rewrite362.0ms (2.3%)

simplify399.0ms (2.5%)

eval257.0ms (1.6%)

prune391.0ms (2.5%)

simplify308.0ms (2%)

localize151.0ms (1%)

series72.0ms (0.5%)

rewrite319.0ms (2%)

simplify401.0ms (2.5%)

eval133.0ms (0.8%)

prune446.0ms (2.8%)

regimes440.0ms (2.8%)

regimes334.0ms (2.1%)

regimes222.0ms (1.4%)

regimes173.0ms (1.1%)

regimes182.0ms (1.2%)

regimes95.0ms (0.6%)

regimes83.0ms (0.5%)

regimes79.0ms (0.5%)

regimes89.0ms (0.6%)

regimes67.0ms (0.4%)

regimes66.0ms (0.4%)

regimes59.0ms (0.4%)

regimes62.0ms (0.4%)

regimes30.0ms (0.2%)

regimes40.0ms (0.3%)

regimes15.0ms (0.1%)

regimes33.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.7s (10.6%)

preprocess286.0ms (1.8%)

end0.0ms (0%)

Profiling