Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze685.0ms (5%)

Memory

25.9MiB live, 899.9MiB 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)

sample2.8s (20.7%)

Memory

80.8MiB live, 3 115.4MiB allocated

Samples

2.0s

8 256×

valid

Precisions

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

ival-div: 313.0ms (20.1% of total)

ival-mult: 305.0ms (19.6% of total)

const: 273.0ms (17.5% of total)

ival-<=: 248.0ms (15.9% of total)

ival-sinh: 151.0ms (9.7% of total)

ival-exp: 83.0ms (5.3% of total)

ival-neg: 79.0ms (5.1% of total)

ival-and: 56.0ms (3.6% of total)

ival-<: 31.0ms (2% of total)

exact: 17.0ms (1.1% of total)

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

Bogosity

explain221.0ms (1.6%)

Memory

-67.6MiB live, 311.7MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
2	(-2.2656332105547294e-12 -1.0864918920105993e-7 -8.716447071466357e-16 3.354807274704411e-31 0.26209312677383423)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(2.7720533424258065e-8 -2.0757547657219126e-38 1.519342528929692e-25 -7.811395917454717e-38 0.29825156927108765)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	88
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	89

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 302 to 80 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 15.0ms (34.2% of total)

ival-mult: 15.0ms (34.2% of total)

ival-sinh: 6.0ms (13.7% of total)

ival-exp: 4.0ms (9.1% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess156.0ms (1.2%)

Memory

44.0MiB live, 193.6MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify139.0ms (1%)

Memory

-10.5MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))

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

localize102.0ms (0.7%)

Memory

-18.7MiB live, 66.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.22951127930532603	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

69.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

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

ival-div: 35.0ms (60% of total)

ival-exp: 13.0ms (22.3% of total)

ival-mult: 7.0ms (12% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.2%)

Memory

-10.9MiB live, 24.9MiB allocated

Counts

6 → 16

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	v	@	inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	v	@	0	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	v	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
2.0ms	sinTheta_i	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))
1.0ms	sinTheta_O	@	-inf	((neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* cosTheta_i cosTheta_O) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v))

simplify129.0ms (0.9%)

Memory

8.4MiB live, 129.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	171
1	152	169
2	351	166
3	789	165
4	1810	165
5	4797	165
6	7239	165
0	8054	165

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite135.0ms (1%)

Memory

0.3MiB live, 228.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31

Stop Event

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

Counts

6 → 499

Calls

Call 1

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

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

eval60.0ms (0.4%)

Memory: 24.4MiB live, 147.5MiB allocated
Compiler: Compiled 15 893 to 2 427 computations (84.7% saved)

prune73.0ms (0.5%)

Memory

-21.9MiB live, 141.0MiB allocated

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	478	37	515
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	478	38	516

Accuracy

99.7%

Counts

516 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.7%	(/.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_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	32.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (.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 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 v) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.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 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.3%	(/.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) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.5%	(/.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 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v))))
	97.7%	(/.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 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v))))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.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_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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)) (.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))
	97.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	70.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
	76.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶	59.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
▶	98.5%	(/.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))
	95.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))) (.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 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i 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_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 2 294 to 1 799 computations (21.6% saved)

simplify120.0ms (0.9%)

Memory

-1.8MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	96	(-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
cost-diff	160	(.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	3264	(.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	4672	(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	32	(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O)))
cost-diff	128	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))
cost-diff	640	(.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	192	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	629
0	89	543
1	206	503
2	803	500
3	4243	497
0	8302	495

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_O 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 #s(literal 1 binary32) v) (.f32 cosTheta_O 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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#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(approx ( (* (sinh (/ 1 v)) 2) 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(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.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))
(.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
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 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 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O)))
#s(literal 0 binary32)
(.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))
(neg.f32 v)
(*.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O)
(/.f32 (neg.f32 cosTheta_i) v)
(neg.f32 cosTheta_i)
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)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v)
(.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.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_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#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(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 cosTheta_O #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.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))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 cosTheta_i (/.f32 v cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_i
(/.f32 v cosTheta_O)
cosTheta_O
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O)))
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
#s(literal 0 binary32)
(.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
(neg.f32 v)
(*.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O)
(/.f32 (neg.f32 cosTheta_i) v)
(neg.f32 cosTheta_i)
cosTheta_i
cosTheta_O
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v)
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(*.f32 (expm1.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))
(.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 4 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))

localize165.0ms (1.2%)

Memory

24.0MiB live, 210.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v)
accuracy	0.3639450195368841	(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.533535009768442	(.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.7932844434568327	(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.22951127930532603	(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1640625	(/.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))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1640625	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
accuracy	0.22951127930532603	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	23.121983243635807	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.28648378907376804	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

111.0ms

256×

valid

Compiler

Compiled 1 256 to 101 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 48.0ms (56% of total)

ival-div: 25.0ms (29.2% of total)

ival-exp: 4.0ms (4.7% of total)

ival-neg: 3.0ms (3.5% of total)

ival-sinh: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory

-3.4MiB live, 81.5MiB allocated

Counts

20 → 58

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/4 (/ (- (* 2 (pow (exp (/ 1 v)) 2)) 2) (exp (/ 1 v))))
(* 2 (pow (exp (/ 1 v)) 2))
(* 4 (exp (/ 1 v)))
(- (* 2 (pow (exp (/ 1 v)) 2)) 2)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ 1 v))
(* 1/2 (/ (* v (- (* 2 (pow (exp (/ 1 v)) 2)) 2)) (exp (/ 1 v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 4 (/ 1 v)))
(+ 2 (+ (* 4 (/ 1 v)) (/ 4 (pow v 2))))
(+ 2 (+ (* 4 (/ 1 v)) (+ (* 8/3 (/ 1 (pow v 3))) (/ 4 (pow v 2)))))
4
(+ 4 (* 4 (/ 1 v)))
(+ 4 (+ (* 4 (/ 1 v)) (/ 2 (pow v 2))))
(+ 4 (+ (* 4 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
(/ 4 v)
(/ (+ 4 (* 4 (/ 1 v))) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (/ 8/3 (pow v 2)))) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 8/3 (pow v 2))))) v)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v)))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 2 (* 2/3 (/ 1 v))) v)) 4) v)))
(* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v))
(* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8/3 (/ 1 v)) (/ 4/3 (pow v 2)))) v)) 4) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O)) (/ (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (neg v)) (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (* 2 (* 2 (exp (/ 1 v)))) (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ 1 v)) (* (* (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) 2) v))
8.0ms	cosTheta_O	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O)) (/ (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (neg v)) (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (* 2 (* 2 (exp (/ 1 v)))) (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ 1 v)) (* (* (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) 2) v))
6.0ms	cosTheta_i	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O)) (/ (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (neg v)) (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (* 2 (* 2 (exp (/ 1 v)))) (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ 1 v)) (* (* (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) 2) v))
5.0ms	v	@	0	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O)) (/ (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (neg v)) (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (* 2 (* 2 (exp (/ 1 v)))) (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ 1 v)) (* (* (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) 2) v))
5.0ms	v	@	inf	((* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ cosTheta_i (/ v cosTheta_O)) (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O)) (/ (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (neg v)) (- 0 (* (neg v) (* (/ (neg cosTheta_i) v) cosTheta_O))) (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (* 2 (* 2 (exp (/ 1 v)))) (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_i (/ v cosTheta_O))) (* (* (sinh (/ 1 v)) 2) v)) (exp (/ 1 v)) (* (* (/ (- (* (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) 2) v))

simplify160.0ms (1.2%)

Memory

17.5MiB live, 173.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	1153
1	840	1110
2	2863	1023
3	6708	1019
0	8424	997

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/4 (/ (- (* 2 (pow (exp (/ 1 v)) 2)) 2) (exp (/ 1 v))))
(* 2 (pow (exp (/ 1 v)) 2))
(* 4 (exp (/ 1 v)))
(- (* 2 (pow (exp (/ 1 v)) 2)) 2)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ 1 v))
(* 1/2 (/ (* v (- (* 2 (pow (exp (/ 1 v)) 2)) 2)) (exp (/ 1 v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 4 (/ 1 v)))
(+ 2 (+ (* 4 (/ 1 v)) (/ 4 (pow v 2))))
(+ 2 (+ (* 4 (/ 1 v)) (+ (* 8/3 (/ 1 (pow v 3))) (/ 4 (pow v 2)))))
4
(+ 4 (* 4 (/ 1 v)))
(+ 4 (+ (* 4 (/ 1 v)) (/ 2 (pow v 2))))
(+ 4 (+ (* 4 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
(/ 4 v)
(/ (+ 4 (* 4 (/ 1 v))) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (/ 8/3 (pow v 2)))) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 8/3 (pow v 2))))) v)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v)))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 2 (* 2/3 (/ 1 v))) v)) 4) v)))
(* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v))
(* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8/3 (/ 1 v)) (/ 4/3 (pow v 2)))) v)) 4) v))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* -1 (* cosTheta_O cosTheta_i))
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 sinTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(* 1/4 (/ (- (* 2 (pow (exp (/ 1 v)) 2)) 2) (exp (/ 1 v))))
(*.f32 (/.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32) #s(literal -2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/4 binary32))
(* 2 (pow (exp (/ 1 v)) 2))
(*.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(* 4 (exp (/ 1 v)))
(*.f32 #s(literal 4 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(- (* 2 (pow (exp (/ 1 v)) 2)) 2)
(fma.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32) #s(literal -2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(* 1/2 (/ (* v (- (* 2 (pow (exp (/ 1 v)) 2)) 2)) (exp (/ 1 v))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32) #s(literal -2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 4 (/ 1 v)))
(+.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 2 binary32))
(+ 2 (+ (* 4 (/ 1 v)) (/ 4 (pow v 2))))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 4 binary32) v) v) #s(literal 2 binary32)) (/.f32 #s(literal 4 binary32) v))
(+ 2 (+ (* 4 (/ 1 v)) (+ (* 8/3 (/ 1 (pow v 3))) (/ 4 (pow v 2)))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 8/3 binary32) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (/.f32 (/.f32 #s(literal 4 binary32) v) v) (/.f32 #s(literal 4 binary32) v)))
4
#s(literal 4 binary32)
(+ 4 (* 4 (/ 1 v)))
(+.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32))
(+ 4 (+ (* 4 (/ 1 v)) (/ 2 (pow v 2))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) #s(literal 4 binary32)) (/.f32 #s(literal 4 binary32) v))
(+ 4 (+ (* 4 (/ 1 v)) (+ (* 2/3 (/ 1 (pow v 3))) (/ 2 (pow v 2)))))
(+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 2/3 binary32) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) v)))
(/ 4 v)
(/.f32 #s(literal 4 binary32) v)
(/ (+ 4 (* 4 (/ 1 v))) v)
(/.f32 (+.f32 (/.f32 #s(literal 4 binary32) v) #s(literal 4 binary32)) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (/ 8/3 (pow v 2)))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) #s(literal 4 binary32)) (/.f32 #s(literal 4 binary32) v)) v)
(/ (+ 4 (+ (* 4 (/ 1 v)) (+ (* 4/3 (/ 1 (pow v 3))) (/ 8/3 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 4/3 binary32) (pow.f32 v #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 8/3 binary32) (*.f32 v v)) (/.f32 #s(literal 4 binary32) v))) v)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (/.f32 #s(literal 1 binary32) v)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) 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 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v)
(+ 2 (* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) v) #s(literal 4 binary32)) v)) v))
(+ 4 (* -1 (/ (- (* -1 (/ (+ 2 (* 2/3 (/ 1 v))) v)) 4) v)))
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2/3 binary32) v) #s(literal 2 binary32)) v)) v))
(* -1 (/ (- (* -1 (/ (+ 4 (* 8/3 (/ 1 v))) v)) 4) v))
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 8/3 binary32) v) #s(literal 4 binary32)) v) #s(literal -4 binary32)) v)
(* -1 (/ (- (* -1 (/ (+ 4 (+ (* 8/3 (/ 1 v)) (/ 4/3 (pow v 2)))) v)) 4) v))
(/.f32 (-.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 4/3 binary32) (*.f32 v v)) #s(literal 4 binary32)) (/.f32 #s(literal 8/3 binary32) v)) v) #s(literal -4 binary32)) v)
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1/2 binary32)) v)) v))

rewrite209.0ms (1.5%)

Memory

-15.0MiB live, 259.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	217
0	79	199
1	254	191
2	1684	177
0	9273	174

Stop Event

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

Counts

20 → 1 458

Calls

Call 1

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

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

eval244.0ms (1.8%)

Memory: 24.3MiB live, 376.0MiB allocated
Compiler: Compiled 55 325 to 5 506 computations (90% saved)

prune138.0ms (1%)

Memory

11.1MiB live, 242.6MiB allocated

Pruning

61 alts after pruning (57 fresh and 4 done)

	Pruned	Kept	Total
New	1 523	36	1 559
Fresh	11	21	32
Picked	2	3	5
Done	0	1	1
Total	1 536	61	1 597

Accuracy

99.9%

Counts

1 597 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
	98.5%	(/.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_O))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	32.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 cosTheta_O (neg.f32 v))) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) v) cosTheta_O) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v) (neg.f32 v))) (.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 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v)) (.f32 v v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.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 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
	98.3%	(/.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) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.7%	(/.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 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v))))
	47.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) v))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.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 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(approx ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.3%	(/.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))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	70.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
✓	59.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
	79.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	95.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 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 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i 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))
▶	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 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_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 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_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.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 (neg.f32 v) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	91.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	60.2%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
	98.3%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)))
	98.4%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
▶	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))

Compiler

Compiled 3 750 to 2 870 computations (23.5% saved)

simplify110.0ms (0.8%)

Memory

-1.8MiB live, 120.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	96	(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))
cost-diff	6752	(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	128	(/.f32 (/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v) (neg.f32 v))
cost-diff	512	(/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)
cost-diff	0	(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	514
0	98	510
1	205	464
2	757	456
3	5068	452
0	8343	452

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

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

localize152.0ms (1.1%)

Memory

8.2MiB live, 248.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(.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)
accuracy	0.4427871955833594	(log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy	0.601077855787437	(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)))
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal -1 binary32) v))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.24351503907376804	(/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1640625	(/.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))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.0625	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
accuracy	0.22951127930532603	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	12.883216160165269	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.28648378907376804	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.33041000976844204	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

94.0ms

256×

valid

Compiler

Compiled 1 022 to 112 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 29.0ms (41.9% of total)

ival-div: 22.0ms (31.8% of total)

ival-sinh: 6.0ms (8.7% of total)

ival-exp: 4.0ms (5.8% of total)

ival-log: 3.0ms (4.3% of total)

ival-neg: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

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

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

series149.0ms (1.1%)

Memory

9.5MiB live, 123.7MiB allocated

Counts

20 → 59

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* -1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* -1 (log (/ -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)))))
(log (/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* -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))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ 1 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)
(log (/ 1 v))
(+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(- (+ (log (/ 1 v)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(* -1 (log (/ 1 v)))
(- (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(+ (log -1) (* -1 (log (/ -1 v))))
(- (+ (log -1) (* -1 (log (/ -1 v)))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))

Calls

15 calls:

Time	Variable		Point	Expression
56.0ms	v	@	0	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (* (/ cosTheta_i v) cosTheta_O) (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (/ (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (neg v)) (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) (* (log (/ -1 (sinh (/ -1 v)))) -1) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ -1 v)) (log (/ -1 (sinh (/ -1 v)))) (* (* (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) 2) v))
30.0ms	cosTheta_i	@	0	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (* (/ cosTheta_i v) cosTheta_O) (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (/ (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (neg v)) (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) (* (log (/ -1 (sinh (/ -1 v)))) -1) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ -1 v)) (log (/ -1 (sinh (/ -1 v)))) (* (* (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) 2) v))
3.0ms	cosTheta_i	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (* (/ cosTheta_i v) cosTheta_O) (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (/ (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (neg v)) (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) (* (log (/ -1 (sinh (/ -1 v)))) -1) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ -1 v)) (log (/ -1 (sinh (/ -1 v)))) (* (* (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) 2) v))
3.0ms	cosTheta_O	@	-inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (* (/ cosTheta_i v) cosTheta_O) (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (/ (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (neg v)) (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) (* (log (/ -1 (sinh (/ -1 v)))) -1) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ -1 v)) (log (/ -1 (sinh (/ -1 v)))) (* (* (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) 2) v))
3.0ms	cosTheta_i	@	inf	((/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (/ 1 v) (* cosTheta_O cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O) (* (/ cosTheta_i v) cosTheta_O) (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (/ (/ (* v (* (neg cosTheta_O) cosTheta_i)) v) (neg v)) (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) (* (log (/ -1 (sinh (/ -1 v)))) -1) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ -1 v)) (log (/ -1 (sinh (/ -1 v)))) (* (* (exp (* (log (/ -1 (sinh (/ -1 v)))) -1)) 2) v))

simplify151.0ms (1.1%)

Memory

4.1MiB live, 238.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	1261
1	759	1193
2	2773	1108
3	7027	1099
0	8090	1080

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* -1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(* -1 (log (/ -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)))))
(log (/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(* -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))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ 1 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)
(log (/ 1 v))
(+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(- (+ (log (/ 1 v)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(/ -1 v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(* -1 (log (/ 1 v)))
(- (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(+ (log -1) (* -1 (log (/ -1 v))))
(- (+ (log -1) (* -1 (log (/ -1 v)))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (* 1/6 (/ 1 (pow v 2))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))

Outputs
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* -1 (* cosTheta_O cosTheta_i))
(*.f32 (neg.f32 cosTheta_i) cosTheta_O)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 sinTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(* -1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32))
(* -1 (log (/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))))
(neg.f32 (log.f32 (/.f32 #s(literal -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 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32))
(* 1/2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(log (/ -2 (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(log.f32 (/.f32 #s(literal -2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(* -1 (* v (- (exp (/ -1 v)) (/ 1 (exp (/ -1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i))) (fma.f32 cosTheta_i cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
(log (/ 1 v))
(neg.f32 (log.f32 v))
(+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 v))
(- (+ (log (/ 1 v)) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(-.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 v)) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32))))
(- (+ (log (/ 1 v)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2835 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (log.f32 v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v)
(/.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) v) v) #s(literal 1 binary32)) v)
(/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32)))) v)
(* -1 (log (/ 1 v)))
(log.f32 v)
(- (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (log.f32 v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ (* -1 (log (/ 1 v))) (/ 1/180 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))
(-.f32 (-.f32 (+.f32 (log.f32 v) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 1/2835 binary32) (pow.f32 v #s(literal 6 binary32))))
(* -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 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32))) v)
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(-.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1 binary32)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 #s(literal -1 binary32))) (log.f32 (neg.f32 v)))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* 1/6 (/ 1 (pow v 2)))) (/ 1/180 (pow v 4)))
(-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (log.f32 #s(literal -1 binary32))) (log.f32 (neg.f32 v)))
(- (+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6))))) (/ 1/180 (pow v 4)))
(-.f32 (+.f32 (/.f32 #s(literal -1/180 binary32) (pow.f32 v #s(literal 4 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1/2835 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (log.f32 #s(literal -1 binary32)))) (log.f32 (neg.f32 v)))
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) v)
(* -1 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v))
(/.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.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)
(+ (log -1) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(- (+ (log -1) (* -1 (log (/ -1 v)))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 (neg.f32 v))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 (neg.f32 v))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1/180 (pow v 4)))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/180 binary32) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (log.f32 (neg.f32 v)))) (/.f32 #s(literal 1/2835 binary32) (pow.f32 v #s(literal 6 binary32))))

rewrite409.0ms (3%)

Memory

-191.8MiB live, 215.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	178
0	86	162
1	232	153
2	1274	145
0	8235	145

Stop Event

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

Counts

20 → 1 310

Calls

Call 1

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

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

eval159.0ms (1.2%)

Memory: 25.7MiB live, 286.4MiB allocated
Compiler: Compiled 44 468 to 5 046 computations (88.7% saved)

prune146.0ms (1.1%)

Memory

9.9MiB live, 254.5MiB allocated

Pruning

97 alts after pruning (90 fresh and 7 done)

	Pruned	Kept	Total
New	1 431	55	1 486
Fresh	17	35	52
Picked	1	4	5
Done	1	3	4
Total	1 450	97	1 547

Accuracy

99.9%

Counts

1 547 → 97

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 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 (exp.f32 (fma.f32 sinTheta_O (.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.7%	(/.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)) (/.f32 #s(literal 1 binary32) v)))
	32.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 (neg.f32 v) cosTheta_O)) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) v) cosTheta_O) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v) (neg.f32 v))) (.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 (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) cosTheta_i) (neg.f32 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 (.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 cosTheta_O)) (.f32 cosTheta_i v)) (neg.f32 v))) (.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 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v)) (.f32 v v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (/.f32 cosTheta_i v)) 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))
	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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.3%	(/.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) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	47.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) v))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (E.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))))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(approx ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.3%	(/.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))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	70.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	79.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
▶	95.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O 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 cosTheta_i v) cosTheta_O)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.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 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))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.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 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 #s(literal -1 binary32) v) (/.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)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.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)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.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 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (neg.f32 v) v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	91.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	91.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	97.9%	(/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)))
	98.4%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
▶	98.8%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
	98.4%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
▶	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
	58.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
▶	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
	60.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
	1.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
	22.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
	60.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
✓	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))

Compiler

Compiled 6 084 to 4 654 computations (23.5% saved)

simplify84.0ms (0.6%)

Memory

0.1MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
cost-diff	736	(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O))
cost-diff	0	(*.f32 sinTheta_i sinTheta_O)
cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
cost-diff	0	(.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32))))
cost-diff	0	(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
cost-diff	160	(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	384	(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	489
0	107	459
1	226	451
2	790	440
3	4605	440
0	8634	436

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (1.4%)

Memory

-15.4MiB live, 261.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.28125	(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O))
accuracy	0.33041000976844204	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.26171875	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.62399761921147	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
accuracy	0.21617128907376806	(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
accuracy	0.23696007069442182	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	12.830443028682028	(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))
accuracy	12.90179813882489	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
accuracy	0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.12890625	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
accuracy	0.2734375	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
accuracy	12.883216160165269	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
accuracy	0.181972509768442	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
accuracy	0.32421875	(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
accuracy	0.38509750976844204	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8365519661150042	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

126.0ms	251×	0	valid
3.0ms	5×	1	valid

Compiler

Compiled 957 to 124 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 55.0ms (54.3% of total)

ival-mult: 27.0ms (26.6% of total)

ival-neg: 6.0ms (5.9% of total)

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

ival-exp: 4.0ms (3.9% of total)

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

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

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series215.0ms (1.6%)

Memory

34.9MiB live, 310.5MiB allocated

Counts

20 → 83

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
51.0ms	cosTheta_i	@	0	((* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ 1/2 v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_i) cosTheta_O) (* (/ 1/2 v) cosTheta_i) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/ 1 (/ v (* cosTheta_O cosTheta_i))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ -1 v) (* (neg v) cosTheta_O)) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_i cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v) (* (* (sinh (/ 1 v)) 2) v))
24.0ms	sinTheta_O	@	inf	((* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ 1/2 v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_i) cosTheta_O) (* (/ 1/2 v) cosTheta_i) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/ 1 (/ v (* cosTheta_O cosTheta_i))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ -1 v) (* (neg v) cosTheta_O)) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_i cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v) (* (* (sinh (/ 1 v)) 2) v))
23.0ms	cosTheta_O	@	0	((* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ 1/2 v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_i) cosTheta_O) (* (/ 1/2 v) cosTheta_i) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/ 1 (/ v (* cosTheta_O cosTheta_i))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ -1 v) (* (neg v) cosTheta_O)) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_i cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v) (* (* (sinh (/ 1 v)) 2) v))
23.0ms	sinTheta_O	@	-inf	((* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ 1/2 v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_i) cosTheta_O) (* (/ 1/2 v) cosTheta_i) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/ 1 (/ v (* cosTheta_O cosTheta_i))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ -1 v) (* (neg v) cosTheta_O)) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_i cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v) (* (* (sinh (/ 1 v)) 2) v))
19.0ms	cosTheta_O	@	-inf	((* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (/ 1/2 v) (sinh (/ 1 v))) (/ 1/2 v) (sinh (/ 1 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_i) cosTheta_O) (* (/ 1/2 v) cosTheta_i) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/ 1 (/ v (* cosTheta_O cosTheta_i))) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (/ -1 v) (* (neg v) cosTheta_O)) (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (* (* (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* cosTheta_i cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v) (* (* (sinh (/ 1 v)) 2) v))

simplify160.0ms (1.2%)

Memory

-47.8MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	1950
1	1340	1875
2	4822	1751
0	8235	1687

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 82

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(* 1/2 (/ cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))
(* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i)
(* -1 (/ (* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2))) v))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(* cosTheta_O (* cosTheta_i (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i) cosTheta_O)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v))
(* -1 (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O) v)
(* -1 (* cosTheta_O (* cosTheta_i (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))))
(.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i) cosTheta_O)
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i) cosTheta_O)
cosTheta_O
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 (/.f32 (neg.f32 sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32))) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_O (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal -1/6 binary32)) sinTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (neg.f32 sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))))))
(* -1/2 cosTheta_i)
(*.f32 #s(literal -1/2 binary32) cosTheta_i)
(+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)))
(.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))
(* -1/2 (* cosTheta_O cosTheta_i))
(.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O)
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) cosTheta_i) cosTheta_O)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) #s(literal 1/2 binary32))
(* sinTheta_i (+ (* -1/2 (/ cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i sinTheta_O) v))))
(.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i))) sinTheta_i)
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) v) #s(literal -1/2 binary32)))) sinTheta_i)
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_i)
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ cosTheta_i sinTheta_i)))))
(.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i))) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))))
(.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) v) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) v) #s(literal -1/2 binary32)))) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
(.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_O (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (.f32 (.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32)))) sinTheta_O) sinTheta_O))
(* sinTheta_O (+ (* -1/2 (/ cosTheta_i sinTheta_O)) (* 1/2 (/ (* cosTheta_i sinTheta_i) v))))
(.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O)
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) v) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) v) #s(literal -1/2 binary32)))) sinTheta_O)
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ cosTheta_i sinTheta_O)))))
(.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O)
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))))
(.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) v) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_i (/.f32 cosTheta_i v)) v) #s(literal -1/2 binary32)))) sinTheta_O)
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
(.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 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 (* cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/.f32 (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (*.f32 v #s(literal -1/2 binary32)))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O)) (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) v)) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 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 (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #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))) (* 31/30240 (/ 1 (pow v 6)))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))) cosTheta_i (.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/12 binary32)) (/.f32 (.f32 #s(literal 1/12 binary32) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O))) v)) v)) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O) (/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_O)))) v)) v)) v)) (neg.f32 v))

rewrite134.0ms (1%)

Memory

36.1MiB live, 191.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	232
0	91	232
1	293	216
2	1842	213
0	8556	209

Stop Event

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

Counts

20 → 840

Calls

Call 1

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

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

eval136.0ms (1%)

Memory: 0.5MiB live, 192.8MiB allocated
Compiler: Compiled 33 827 to 3 507 computations (89.6% saved)

prune193.0ms (1.4%)

Memory

2.4MiB live, 286.8MiB allocated

Pruning

118 alts after pruning (110 fresh and 8 done)

	Pruned	Kept	Total
New	975	36	1 011
Fresh	11	74	85
Picked	2	3	5
Done	2	5	7
Total	990	118	1 108

Accuracy

100.0%

Counts

1 108 → 118

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_O (.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v) (neg.f32 v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.7%	(/.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)) (/.f32 #s(literal 1 binary32) v)))
	32.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 cosTheta_i v) (.f32 (neg.f32 v) cosTheta_O)) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) v) cosTheta_O) (neg.f32 v))) (.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 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v) (neg.f32 v))) (.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 (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) cosTheta_i) (neg.f32 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 (.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 cosTheta_O)) (.f32 cosTheta_i v)) (neg.f32 v))) (.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 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v)) (.f32 v v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (/.f32 cosTheta_i v)) 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))
	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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
	97.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	47.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) 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 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(approx ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
✓	98.3%	(/.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))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	70.8%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	69.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
	98.6%	(/.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)) (/.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 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))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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_O cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.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 (/.f32 #s(literal -1 binary32) v) (*.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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) (*.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (-.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))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 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) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	65.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 #s(literal -1 binary32) v) (/.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)))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.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)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 v) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.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 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (neg.f32 v) v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	91.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
	97.9%	(/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)))
	98.4%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	98.8%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
	98.5%	(.f32 (.f32 (/.f32 (.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 cosTheta_i cosTheta_O))
	98.4%	(.f32 (.f32 (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	98.5%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 cosTheta_i cosTheta_O))
	59.8%	(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
	59.8%	(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
	59.8%	(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
	98.3%	(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
✓	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
	53.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
	58.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	58.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
	60.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
	38.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
✓	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
	60.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
	2.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
	22.2%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
	60.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
	60.3%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
	59.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
	59.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
	54.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
	59.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))

Compiler

Compiled 9 949 to 4 033 computations (59.5% saved)

regimes430.0ms (3.2%)

Memory

-5.4MiB live, 544.5MiB allocated

Counts

165 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.f32 cosTheta_i) v) 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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (*.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 (.f32 (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) #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) (*.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (-.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (exp.f32 (log.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 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 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))) (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 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 (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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 v (/.f32 cosTheta_i v)) 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 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(approx ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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 (-.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 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (E.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 (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal 2 binary32)) v))
(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 (.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) v) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.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 (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (E.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))))) #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 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 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 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.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 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.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 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.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 (-.f32 (.f32 (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (exp.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 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v) (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.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 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v))) (.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32))) v))))

Outputs

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

Calls

8 calls:

62.0ms	sinTheta_i
60.0ms	sinTheta_O
58.0ms	(/.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))
57.0ms	cosTheta_i
50.0ms	v

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 33 to 56 computations (-69.7% saved)

regimes317.0ms (2.3%)

Memory

-11.9MiB live, 543.2MiB allocated

Counts

127 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))
(/.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))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 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 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 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 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal 0 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 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v)) (.f32 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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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)) (/.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 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (neg.f32 cosTheta_i) cosTheta_O))) (.f32 (neg.f32 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 (neg.f32 v) (/.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (.f32 (/.f32 (neg.f32 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 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v) (neg.f32 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 (.f32 (/.f32 (neg.f32 cosTheta_i) v) v) cosTheta_O) (neg.f32 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 (/.f32 cosTheta_i v) (.f32 cosTheta_O (neg.f32 v))) (neg.f32 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 (/.f32 cosTheta_i v) (.f32 (neg.f32 v) cosTheta_O)) (neg.f32 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 (.f32 v (.f32 (neg.f32 cosTheta_O) cosTheta_i)) v) (neg.f32 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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.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_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 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) cosTheta_O))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 cosTheta_O)) (.f32 cosTheta_i v)) (neg.f32 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 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) cosTheta_i) (neg.f32 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 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 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 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_O (.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_i (/.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (neg.f32 v) v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 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 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (neg.f32 v) cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 #s(literal -1 binary32) v) (/.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (/.f32 #s(literal 1 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (.f32 (/.f32 (neg.f32 cosTheta_i) v) 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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 cosTheta_O (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v cosTheta_i)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Outputs

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

Calls

8 calls:

47.0ms	v
41.0ms	sinTheta_O
39.0ms	sinTheta_i
36.0ms	(*.f32 sinTheta_i sinTheta_O)
36.0ms	cosTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes272.0ms (2%)

Memory

30.3MiB live, 230.3MiB allocated

Counts

89 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))
(/.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))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 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 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 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 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal 0 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 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O) #s(literal 0 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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 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 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v)) (.f32 v 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 #s(literal 1 binary32) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

52.0ms	cosTheta_i
45.0ms	sinTheta_O
40.0ms	(*.f32 sinTheta_i sinTheta_O)
33.0ms	sinTheta_i
32.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes252.0ms (1.9%)

Memory

-14.2MiB live, 189.4MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))
(/.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))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O #s(literal 0 binary32)))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 0 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 (exp.f32 (fma.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32)) #s(literal 0 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 (exp.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32) #s(literal 0 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 (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))

Calls

8 calls:

39.0ms	cosTheta_O
38.0ms	sinTheta_O
38.0ms	(*.f32 sinTheta_i sinTheta_O)
35.0ms	(/.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))
34.0ms	sinTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes262.0ms (1.9%)

Memory

0.4MiB live, 195.0MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))

Outputs

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

Calls

8 calls:

49.0ms	(*.f32 sinTheta_i sinTheta_O)
46.0ms	v
42.0ms	sinTheta_i
35.0ms	sinTheta_O
31.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`
98.4%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes799.0ms (5.9%)

Memory

-26.2MiB live, 274.6MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Outputs

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

Calls

8 calls:

512.0ms	(*.f32 cosTheta_i cosTheta_O)
77.0ms	cosTheta_O
59.0ms	sinTheta_i
39.0ms	v
39.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes218.0ms (1.6%)

Memory

15.0MiB live, 289.9MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal 1/6 binary32)) v) v)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (*.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)) v))

Outputs

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

Calls

8 calls:

41.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	(*.f32 cosTheta_i cosTheta_O)
31.0ms	v
21.0ms	sinTheta_i
21.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
70.8%	1	`cosTheta_i`
70.8%	1	`sinTheta_i`
70.8%	1	`cosTheta_O`
70.8%	1	`sinTheta_O`
70.8%	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))`
70.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
70.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
70.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes197.0ms (1.4%)

Memory

-20.0MiB live, 265.0MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_O v) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 v cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_O v) (/.f32 cosTheta_i v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 cosTheta_i v) (/.f32 cosTheta_O v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (*.f32 v (/.f32 cosTheta_i v)) cosTheta_O) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (*.f32 cosTheta_i cosTheta_O) v) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i v) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 v #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O (/.f32 cosTheta_i v)) cosTheta_O) #s(literal -1/2 binary32)) sinTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_O) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (.f32 v #s(literal -1/2 binary32)))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 (/.f32 sinTheta_O v) cosTheta_i) sinTheta_i) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_i)))) sinTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O)))) sinTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) sinTheta_O))) sinTheta_O))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 (neg.f32 v) v) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_i) v) #s(literal -1/2 binary32) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O (.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (.f32 (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) cosTheta_O) cosTheta_i) (/.f32 #s(literal -1 binary32) v))))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O))
(.f32 #s(approx ( (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) v) #s(literal 1/2 binary32))) v)) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32))) v)) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32))))) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) sinTheta_O #s(literal -1/2 binary32)) cosTheta_i)) #s(literal -1 binary32)) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (neg.f32 (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) v)) (.f32 v v)) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 (neg.f32 cosTheta_O) cosTheta_i) (.f32 #s(literal 0 binary32) (.f32 (neg.f32 cosTheta_O) cosTheta_i))))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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_O cosTheta_i))) #s(approx (/ (* (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #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(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (/ (- ( (exp (/ 1 v)) (* 2 (exp (/ 1 v)))) 2) (* 2 (* 2 (exp (/ 1 v))))) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (.f32 #s(literal 1/4 binary32) (pow.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32))) #s(literal 1/4 binary32))) (.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (neg.f32 v) cosTheta_O)) (/.f32 cosTheta_i v))) #s(approx (/ ( (sinh (/ 1 v)) 2) (/ 1 v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (neg.f32 v) (.f32 (/.f32 (neg.f32 cosTheta_i) v) cosTheta_O))) (neg.f32 v))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

39.0ms	(/.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))
31.0ms	cosTheta_i
25.0ms	sinTheta_O
22.0ms	sinTheta_i
21.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
65.0%	1	`cosTheta_i`
65.0%	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))`
65.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	1	`sinTheta_O`
65.0%	1	`v`
65.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.0%	1	`sinTheta_i`
65.0%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes183.0ms (1.3%)

Memory

35.8MiB live, 307.9MiB allocated

Counts

61 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

35.0ms	sinTheta_i
32.0ms	(*.f32 cosTheta_i cosTheta_O)
24.0ms	(*.f32 sinTheta_i sinTheta_O)
20.0ms	sinTheta_O
19.0ms	v

Results

Accuracy	Segments	Branch
65.0%	1	`sinTheta_i`
65.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	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))`
65.0%	1	`cosTheta_i`
65.0%	1	`cosTheta_O`
65.0%	1	`sinTheta_O`
65.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.0%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes145.0ms (1.1%)

Memory

-1.1MiB live, 281.8MiB allocated

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

20.0ms	(*.f32 cosTheta_i cosTheta_O)
19.0ms	cosTheta_O
18.0ms	(*.f32 sinTheta_i sinTheta_O)
18.0ms	cosTheta_i
18.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
65.0%	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))`
65.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	1	`sinTheta_i`
65.0%	1	`cosTheta_i`
65.0%	1	`sinTheta_O`
65.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.0%	1	`v`
65.0%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes170.0ms (1.2%)

Memory

6.0MiB live, 281.3MiB allocated

Counts

57 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

42.0ms	sinTheta_i
24.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
18.0ms	sinTheta_O
18.0ms	cosTheta_i
17.0ms	v

Results

Accuracy	Segments	Branch
60.3%	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))`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`sinTheta_i`
60.3%	1	`cosTheta_O`
60.3%	1	`sinTheta_O`
60.3%	1	`cosTheta_i`
60.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes68.0ms (0.5%)

Memory

-17.3MiB live, 134.3MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	(*.f32 sinTheta_i sinTheta_O)
10.0ms	v
9.0ms	(*.f32 cosTheta_i cosTheta_O)
8.0ms	cosTheta_O
7.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
60.1%	1	`cosTheta_O`
60.1%	1	`sinTheta_O`
60.1%	1	`v`
60.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.1%	1	`cosTheta_i`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	1	`sinTheta_i`
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes43.0ms (0.3%)

Memory

-0.4MiB live, 86.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

8.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	v
5.0ms	cosTheta_i
5.0ms	sinTheta_O
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
60.0%	1	`cosTheta_O`
60.0%	1	`v`
60.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.0%	1	`sinTheta_O`
60.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.0%	1	`cosTheta_i`
60.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.0%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes38.0ms (0.3%)

Memory

23.1MiB live, 101.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	sinTheta_O
5.0ms	(*.f32 sinTheta_i sinTheta_O)
5.0ms	sinTheta_i
4.0ms	cosTheta_i
4.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.8%	1	`v`
59.8%	1	`cosTheta_O`
59.8%	1	`sinTheta_O`
59.8%	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))`
59.8%	1	`cosTheta_i`
59.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.8%	1	`sinTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes30.0ms (0.2%)

Memory

-34.2MiB live, 55.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	v
3.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
59.8%	1	`cosTheta_O`
59.8%	1	`sinTheta_i`
59.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.8%	1	`sinTheta_O`
59.8%	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))`
59.8%	1	`v`
59.8%	1	`cosTheta_i`
59.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes24.0ms (0.2%)

Memory

20.7MiB live, 60.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	v
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
59.8%	1	`cosTheta_O`
59.8%	1	`sinTheta_i`
59.8%	1	`sinTheta_O`
59.8%	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))`
59.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.8%	1	`v`
59.8%	1	`cosTheta_i`
59.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes37.0ms (0.3%)

Memory

-4.5MiB live, 34.6MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	v
2.0ms	sinTheta_O
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	cosTheta_i

Results

Accuracy	Segments	Branch
59.8%	1	`cosTheta_O`
59.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.8%	1	`cosTheta_i`
59.8%	1	`sinTheta_i`
59.8%	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))`
59.8%	1	`sinTheta_O`
59.8%	1	`v`
59.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify53.0ms (0.4%)

Memory

-21.2MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	518
1	154	518
2	179	518
3	194	518
4	202	518
5	203	518

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (12.1%)

Memory

34.4MiB live, 1 383.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	217
0	79	199
1	254	191
2	1684	177
0	9273	174
0	405	1950
1	1340	1875
2	4822	1751
0	8235	1687
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31
0	58	232
0	91	232
1	293	216
2	1842	213
0	8556	209
0	68	171
1	152	169
2	351	166
3	789	165
4	1810	165
5	4797	165
6	7239	165
0	8054	165
0	286	1153
1	840	1110
2	2863	1023
3	6708	1019
0	8424	997
0	54	178
0	86	162
1	232	153
2	1274	145
0	8235	145

Stop Event

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

Compiler

Compiled 1 512 to 804 computations (46.8% saved)

preprocess378.0ms (2.8%)

Memory

-6.8MiB live, 390.8MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 3 544 to 2 388 computations (32.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze685.0ms (5%)

sample2.8s (20.7%)

explain221.0ms (1.6%)

preprocess156.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify139.0ms (1%)

localize102.0ms (0.7%)

series30.0ms (0.2%)

simplify129.0ms (0.9%)

rewrite135.0ms (1%)

eval60.0ms (0.4%)

prune73.0ms (0.5%)

simplify120.0ms (0.9%)

localize165.0ms (1.2%)

series65.0ms (0.5%)

simplify160.0ms (1.2%)

rewrite209.0ms (1.5%)

eval244.0ms (1.8%)

prune138.0ms (1%)

simplify110.0ms (0.8%)

localize152.0ms (1.1%)

series149.0ms (1.1%)

simplify151.0ms (1.1%)

rewrite409.0ms (3%)

eval159.0ms (1.2%)

prune146.0ms (1.1%)

simplify84.0ms (0.6%)

localize186.0ms (1.4%)

series215.0ms (1.6%)

simplify160.0ms (1.2%)

rewrite134.0ms (1%)

eval136.0ms (1%)

prune193.0ms (1.4%)

regimes430.0ms (3.2%)

regimes317.0ms (2.3%)

regimes272.0ms (2%)

regimes252.0ms (1.9%)

regimes262.0ms (1.9%)

regimes799.0ms (5.9%)

regimes218.0ms (1.6%)

regimes197.0ms (1.4%)

regimes183.0ms (1.3%)

regimes145.0ms (1.1%)

regimes170.0ms (1.2%)

regimes68.0ms (0.5%)

regimes43.0ms (0.3%)

regimes38.0ms (0.3%)

regimes30.0ms (0.2%)

regimes24.0ms (0.2%)

regimes37.0ms (0.3%)

simplify53.0ms (0.4%)

soundness1.6s (12.1%)

preprocess378.0ms (2.8%)

end0.0ms (0%)

Profiling