Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze698.0ms (5.5%)

Memory

-7.9MiB live, 1 061.2MiB 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 (21.9%)

Memory

94.7MiB live, 3 522.2MiB allocated

Samples

2.0s

8 256×

valid

Precisions

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

ival-mult: 384.0ms (23.3% of total)

ival-div: 371.0ms (22.5% of total)

const: 315.0ms (19.1% of total)

ival-<=: 279.0ms (16.9% of total)

ival-sinh: 81.0ms (4.9% of total)

ival-exp: 76.0ms (4.6% of total)

ival-and: 58.0ms (3.5% of total)

ival-neg: 42.0ms (2.5% of total)

ival-<: 22.0ms (1.3% of total)

exact: 17.0ms (1% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain404.0ms (3.2%)

Memory

30.7MiB live, 191.2MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
4	(1.70345907518632e-11 6.802700909247505e-7 6.036469237067233e-16 6.201768546209511e-31 0.35848468542099)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(-2.0045993961585783e-15 2.6819728811044767e-31 -4.6960064942691884e-18 1.2292847922412067e-18 0.6280096769332886)	-	`(/.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	4	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	77
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	74

Confusion

	Predicted +	Predicted -
+	0	0
-	6	250

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

62.0ms

512×

valid

Compiler

Compiled 302 to 80 computations (73.5% saved)

Precisions

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

ival-mult: 15.0ms (36.4% of total)

ival-div: 14.0ms (34% of total)

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

ival-exp: 4.0ms (9.7% of total)

ival-neg: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess197.0ms (1.5%)

Memory

-77.7MiB live, 115.1MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify153.0ms (1.2%)

Memory

-15.4MiB live, 178.2MiB 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)

localize84.0ms (0.7%)

Memory

7.5MiB live, 83.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.27675634768442015	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

59.0ms

256×

valid

Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 30.0ms (62.4% of total)

ival-mult: 8.0ms (16.6% of total)

ival-div: 7.0ms (14.6% of total)

ival-sinh: 2.0ms (4.2% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.4%)

Memory

-5.6MiB live, 36.2MiB 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
38.0ms	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))

simplify114.0ms (0.9%)

Memory

30.2MiB live, 186.7MiB 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)

rewrite231.0ms (1.8%)

Memory

-12.4MiB live, 319.6MiB 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)))))

eval61.0ms (0.5%)

Memory: -7.1MiB live, 188.4MiB allocated
Compiler: Compiled 15 893 to 2 427 computations (84.7% saved)

prune162.0ms (1.3%)

Memory

8.3MiB live, 167.7MiB allocated

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	477	38	515
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	477	39	516

Accuracy

99.7%

Counts

516 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (.f32 (exp.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))
	98.5%	(/.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))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) #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))
▶	91.0%	(/.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))
	52.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O))) (neg.f32 v)) (.f32 (neg.f32 v) (/.f32 (/.f32 v cosTheta_i) (neg.f32 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 (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))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))) (/.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) 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))) (.f32 (/.f32 #s(literal 1 binary32) 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 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))))
	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)))))
	97.5%	(/.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 (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)))))
	98.6%	(/.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)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (/.f32 #s(literal -1 binary32) (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 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.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 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.4%	(/.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))
	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 #s(literal 1 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))))))
	97.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (-.f32 (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))))))
	98.2%	(/.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 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))) #s(literal 2 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 (.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))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 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)))))) #s(literal 2 binary32)) v))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.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))
	63.2%	(/.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))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	63.2%	(/.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)))
▶	57.0%	(/.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)))
▶	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 (neg.f32 v) cosTheta_i) #s(literal -1 binary32)))) (.f32 (*.f32 (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 (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))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.7%	(/.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)) v))
	91.0%	(/.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 2 358 to 1 833 computations (22.3% saved)

simplify135.0ms (1.1%)

Memory

-19.7MiB live, 178.3MiB 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	3424	(pow.f32 (exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))
cost-diff	6400	(exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
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	736	(/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) 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))
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: 1 (0.0ms)

Iter	Nodes	Cost
0	42	493
0	71	497
1	148	459
2	518	459
3	2372	459
4	4289	459
5	5254	459
0	9113	459

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

localize148.0ms (1.2%)

Memory

32.5MiB live, 150.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.7212594670037278	(pow.f32 (exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))
accuracy	1.9383693057758662	(exp.f32 (log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
accuracy	13.678876261821696	(log.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
accuracy	0.27675634768442015	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.3756637695368841	(/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.20703125	(/.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	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.20703125	(/.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	0.27675634768442015	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	22.94901952926161	#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.32038886722130416	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i))
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

89.0ms

256×

valid

Compiler

Compiled 984 to 83 computations (91.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 29.0ms (44% of total)

ival-div: 23.0ms (34.9% of total)

ival-exp: 5.0ms (7.6% of total)

ival-log: 3.0ms (4.5% of total)

ival-pow: 3.0ms (4.5% of total)

ival-sinh: 2.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series254.0ms (2%)

Memory

4.1MiB live, 353.6MiB allocated

Counts

16 → 45

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

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))))))
(/ v (* cosTheta_O cosTheta_i))
(+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i)))
(+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O)))
(+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i)))
(+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O)))
(+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i)))
(+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O)))
(* -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)))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* 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 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
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 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))
(+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	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)) (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (exp (log (/ v (* cosTheta_O cosTheta_i)))) (pow (exp (log (/ v (* cosTheta_O cosTheta_i)))) -1) (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)) (/ (/ 1 v) (sinh (/ 1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
44.0ms	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)) (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (exp (log (/ v (* cosTheta_O cosTheta_i)))) (pow (exp (log (/ v (* cosTheta_O cosTheta_i)))) -1) (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)) (/ (/ 1 v) (sinh (/ 1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
40.0ms	cosTheta_i	@	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)) (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (exp (log (/ v (* cosTheta_O cosTheta_i)))) (pow (exp (log (/ v (* cosTheta_O cosTheta_i)))) -1) (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)) (/ (/ 1 v) (sinh (/ 1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
23.0ms	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)) (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (exp (log (/ v (* cosTheta_O cosTheta_i)))) (pow (exp (log (/ v (* cosTheta_O cosTheta_i)))) -1) (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)) (/ (/ 1 v) (sinh (/ 1 v))) (log (/ v (* cosTheta_O cosTheta_i))))
23.0ms	cosTheta_O	@	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)) (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (exp (log (/ v (* cosTheta_O cosTheta_i)))) (pow (exp (log (/ v (* cosTheta_O cosTheta_i)))) -1) (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)) (/ (/ 1 v) (sinh (/ 1 v))) (log (/ v (* cosTheta_O cosTheta_i))))

simplify220.0ms (1.7%)

Memory

-20.5MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	1000
1	718	952
2	2526	870
3	6074	866
0	8158	846

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

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))))))
(/ v (* cosTheta_O cosTheta_i))
(+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i)))
(+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O)))
(+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i)))
(+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O)))
(+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i)))
(+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O)))
(* -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)))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* 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 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
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 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))
(+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -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))))
(/ v (* cosTheta_O cosTheta_i))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(+ (log (/ v cosTheta_O)) (* -1 (log cosTheta_i)))
(-.f32 (log.f32 (/.f32 v cosTheta_O)) (log.f32 cosTheta_i))
(+ (log (/ 1 cosTheta_i)) (log (/ v cosTheta_O)))
(-.f32 (log.f32 (/.f32 v cosTheta_O)) (log.f32 cosTheta_i))
(+ (log (* -1 (/ v cosTheta_O))) (log (/ -1 cosTheta_i)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_i)) (log.f32 (/.f32 (neg.f32 v) cosTheta_O)))
(+ (log (/ v cosTheta_i)) (* -1 (log cosTheta_O)))
(-.f32 (log.f32 (/.f32 v cosTheta_i)) (log.f32 cosTheta_O))
(+ (log (/ 1 cosTheta_O)) (log (/ v cosTheta_i)))
(-.f32 (log.f32 (/.f32 v cosTheta_i)) (log.f32 cosTheta_O))
(+ (log (* -1 (/ v cosTheta_i))) (log (/ -1 cosTheta_O)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) cosTheta_O)) (log.f32 (/.f32 (neg.f32 v) cosTheta_i)))
(* -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))
(* 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 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (log v) (log (/ 1 (* cosTheta_O cosTheta_i))))
(-.f32 (log.f32 v) (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(* 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)
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 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)
1
#s(literal 1 binary32)
(- 1 (* 1/6 (/ 1 (pow v 2))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(-.f32 (+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(-.f32 (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32)))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)))
(+ (log (/ 1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))
(-.f32 (log.f32 v) (log.f32 (*.f32 cosTheta_i cosTheta_O)))
(* -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 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 (/ (+ (* -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))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (-.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)) 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 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal 1 binary32))) v)
(+ (log (/ -1 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))
(+.f32 (log.f32 (neg.f32 v)) (log.f32 (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_O) cosTheta_i)))

rewrite365.0ms (2.9%)

Memory

9.7MiB live, 199.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	139
0	61	133
1	197	127
2	1090	127
0	8331	127

Stop Event

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

Counts

16 → 1 238

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

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

eval199.0ms (1.6%)

Memory: 0.7MiB live, 316.1MiB allocated
Compiler: Compiled 45 387 to 4 458 computations (90.2% saved)

prune135.0ms (1.1%)

Memory

10.5MiB live, 252.0MiB allocated

Pruning

55 alts after pruning (52 fresh and 3 done)

	Pruned	Kept	Total
New	1 594	39	1 633
Fresh	20	13	33
Picked	3	2	5
Done	0	1	1
Total	1 617	55	1 672

Accuracy

99.8%

Counts

1 672 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.5%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 #s(literal 2 binary32) v))
	98.5%	(/.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (/.f32 v cosTheta_O))))
	57.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O))) v)
	94.9%	(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	98.4%	(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) (/.f32 #s(literal 1 binary32) cosTheta_O))
	97.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v))
	98.5%	(/.f32 (.f32 (exp.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))
	98.5%	(/.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))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) #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))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	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 (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)))))
	98.6%	(/.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)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal -1 binary32)) v)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1 binary32)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (-.f32 (/.f32 (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))))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.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))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.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))
	63.2%	(/.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))
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ 2 (/ (/ 1 v) (sinh (/ 1 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 cosTheta_i (/.f32 v cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (.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 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 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 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)) v))
	63.2%	(/.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 #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))
▶	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i)) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 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))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	98.6%	(/.f32 cosTheta_i (.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_O)))
	98.1%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)))
	97.9%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
	98.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 cosTheta_i cosTheta_O))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
	89.3%	(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (/.f32 v cosTheta_O))) #s(literal -1 binary32)))
	50.4%	#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))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	50.4%	#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))
	55.1%	#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))) v))
▶	57.0%	#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)))

Compiler

Compiled 2 910 to 2 355 computations (19.1% saved)

simplify130.0ms (1%)

Memory

26.5MiB live, 138.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 sinTheta_i)
cost-diff	0	(/.f32 (neg.f32 sinTheta_i) v)
cost-diff	0	(exp.f32 sinTheta_O)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	0	(/.f32 (*.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 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v)))
cost-diff	544	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
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 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	224	(*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	446
0	97	457
1	193	446
2	671	417
3	4063	417
0	8325	417

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

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

localize151.0ms (1.2%)

Memory

-2.0MiB live, 240.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
accuracy	0.24461076862801118	(.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)))
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.6570180153275271	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
accuracy	0.25	(.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)))
accuracy	0.27675634768442015	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.20703125	(/.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))
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.03125	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
accuracy	0.27675634768442015	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	13.74951526998733	#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	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2890625	(*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

96.0ms

256×

valid

Compiler

Compiled 886 to 112 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 31.0ms (43% of total)

ival-div: 26.0ms (36.1% of total)

ival-pow: 5.0ms (6.9% of total)

ival-exp: 4.0ms (5.6% of total)

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

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

exact: 1.0ms (1.4% of total)

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

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

series255.0ms (2%)

Memory

-23.4MiB live, 322.5MiB allocated

Counts

21 → 63

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
51.0ms	sinTheta_i	@	inf	((* (/ -1 v) (neg 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)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* (/ cosTheta_O v) cosTheta_i) (/ 1 (/ 2 v)) (* (* 4 (sinh (/ 1 v))) (/ 1 (/ 2 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (neg sinTheta_i) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i))) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))
50.0ms	cosTheta_O	@	inf	((* (/ -1 v) (neg 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)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* (/ cosTheta_O v) cosTheta_i) (/ 1 (/ 2 v)) (* (* 4 (sinh (/ 1 v))) (/ 1 (/ 2 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (neg sinTheta_i) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i))) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))
32.0ms	cosTheta_i	@	0	((* (/ -1 v) (neg 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)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* (/ cosTheta_O v) cosTheta_i) (/ 1 (/ 2 v)) (* (* 4 (sinh (/ 1 v))) (/ 1 (/ 2 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (neg sinTheta_i) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i))) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))
20.0ms	sinTheta_O	@	inf	((* (/ -1 v) (neg 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)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* (/ cosTheta_O v) cosTheta_i) (/ 1 (/ 2 v)) (* (* 4 (sinh (/ 1 v))) (/ 1 (/ 2 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (neg sinTheta_i) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i))) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))
17.0ms	cosTheta_i	@	inf	((* (/ -1 v) (neg 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)) (* 1/2 (/ (* cosTheta_i cosTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (* (/ cosTheta_O v) cosTheta_i) (/ 1 (/ 2 v)) (* (* 4 (sinh (/ 1 v))) (/ 1 (/ 2 v))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (/ (neg sinTheta_i) v) (neg sinTheta_i) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))) (* (* 2 v) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i))) (* (sinh (/ 1 v)) (/ (/ v cosTheta_O) cosTheta_i)))

simplify140.0ms (1.1%)

Memory

41.6MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	1431
1	1055	1376
2	3720	1285
0	8083	1250

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 63

Calls

Call 1

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

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

rewrite191.0ms (1.5%)

Memory

-18.1MiB live, 180.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	182
0	87	180
1	243	176
2	1339	170
0	8367	170

Stop Event

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

Counts

21 → 1 347

Calls

Call 1

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

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

eval173.0ms (1.4%)

Memory: 17.7MiB live, 282.2MiB allocated
Compiler: Compiled 42 586 to 4 593 computations (89.2% saved)

prune131.0ms (1%)

Memory

1.2MiB live, 291.0MiB allocated

Pruning

76 alts after pruning (72 fresh and 4 done)

	Pruned	Kept	Total
New	1 445	46	1 491
Fresh	21	26	47
Picked	3	2	5
Done	1	2	3
Total	1 470	76	1 546

Accuracy

99.9%

Counts

1 546 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.8%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 #s(literal 2 binary32) v) cosTheta_i)))
	93.6%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 cosTheta_O cosTheta_i))))
	92.7%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 #s(literal 2 binary32) v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
	98.4%	(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) (/.f32 #s(literal 1 binary32) cosTheta_O))
	97.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.5%	(/.f32 (.f32 (exp.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))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_O v) 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 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) #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))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.9%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i))) (.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))))
	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 (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)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1 binary32)))))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (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))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.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))) (pow.f32 (exp.f32 (log.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32)))))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ 2 (/ (/ 1 v) (sinh (/ 1 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_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v cosTheta_i) (neg.f32 cosTheta_O)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.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))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	69.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.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)) (neg.f32 v))) #s(literal 2 binary32)) v))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) 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))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.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))))
✓	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)) 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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.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) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)))) (.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))))
	94.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 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))
	93.5%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
▶	93.8%	(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)))
	98.6%	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.9%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
	98.8%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i)
▶	98.8%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	89.3%	(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
	50.4%	#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))
	50.4%	#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_O cosTheta_i) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (.f32 sinTheta_O sinTheta_O) #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))
	57.0%	#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 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O))))
	57.0%	#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 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i v) v) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.1%	#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))
▶	57.1%	#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 (.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)))
	50.4%	#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))
	50.4%	#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))
	55.1%	#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))) v))
	57.0%	#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)))
	55.1%	#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_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	57.5%	#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 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
	57.5%	#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_O cosTheta_i) v))))
	57.5%	#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_O) cosTheta_i)))
	57.0%	#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)))
	57.0%	#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)))
	57.0%	#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) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
▶	57.0%	#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)))
	57.6%	#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) v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i))))
✓	57.0%	#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)))
	8.3%	#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 (neg.f32 (pow.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (*.f32 cosTheta_i cosTheta_i)))))
	55.9%	#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 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i))))
	57.0%	#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 cosTheta_O (/.f32 v cosTheta_i))))
	57.6%	#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) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))))
	57.0%	#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 #s(literal 1 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))))
	57.0%	#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 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)))))

Compiler

Compiled 4 446 to 3 541 computations (20.4% saved)

simplify122.0ms (1%)

Memory

-10.5MiB live, 147.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 sinTheta_O v)
cost-diff	0	(exp.f32 sinTheta_i)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))
cost-diff	0	(.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) 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))
cost-diff	192	(/.f32 cosTheta_O (/.f32 v 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	#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	64	(/.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	-192	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
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 cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
cost-diff	160	(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	442
0	102	447
1	208	443
2	624	426
3	2506	426
4	4574	424
5	6864	424
0	8319	420

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.1%)

Memory

6.1MiB live, 236.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2867159844064173	(.f32 (.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.4048001954537063	(*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	1.5778777558097938	(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.20703125	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy	0.25	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.3398501097681899	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.01171875	(.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))
accuracy	0.28989267532482516	(/.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	0.3398501097681899	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	13.74951526998733	#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	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.2575187988422101	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
accuracy	13.74951526998733	#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)))
accuracy	0.240566259768442	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
accuracy	0.3756637695368841	(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.39357377930532605	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
accuracy	0.8321354039414649	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

106.0ms

256×

valid

Compiler

Compiled 863 to 119 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 30.0ms (36.3% of total)

ival-div: 28.0ms (33.9% of total)

ival-pow: 13.0ms (15.7% of total)

ival-exp: 5.0ms (6.1% of total)

ival-neg: 3.0ms (3.6% of total)

ival-sinh: 2.0ms (2.4% of total)

ival-add: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series362.0ms (2.8%)

Memory

-8.2MiB live, 309.1MiB allocated

Counts

28 → 140

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(/ (* 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_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)
(* 1/2 (/ (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i)))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(* -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 cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(* -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)
(+ (* 1/2 (/ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(+ 1 sinTheta_i)
(+ 1 (* sinTheta_i (+ 1 (* 1/2 sinTheta_i))))
(+ 1 (* sinTheta_i (+ 1 (* sinTheta_i (+ 1/2 (* 1/6 sinTheta_i))))))
(/ 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)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) 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))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp sinTheta_i)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(/ sinTheta_O v)
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1/2 (/ 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 (* 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)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ v (* cosTheta_O cosTheta_i))
(* v (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))
(* v (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))))
(* v (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))))))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(/ (+ 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 (* -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)
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 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* v (+ (/ 1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (/ 1/120 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* v (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/120 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/5040 (/ 1 (* cosTheta_O (* cosTheta_i (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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i))) (* 1/6 (/ 1 (* cosTheta_O cosTheta_i)))) v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O cosTheta_i)))) v)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i)))) (* 1/6 (/ 1 (* cosTheta_O cosTheta_i)))) v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) 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 (/ (* 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* -1 (/ (+ (* 1/6 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/120 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* 1/120 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/5040 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (/ 1 (* cosTheta_O cosTheta_i))))))

Calls

15 calls:

Time	Variable		Point	Expression
61.0ms	sinTheta_i	@	-inf	((/ (/ 1 v) (* (sinh (/ 1 v)) 2)) (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 v) (* (* cosTheta_O cosTheta_i) (/ 1/2 v)) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/ (* (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))) (/ cosTheta_O (/ v cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (pow (exp sinTheta_i) (/ sinTheta_O v)) (exp sinTheta_i) (/ sinTheta_O v) (sinh (/ 1 v)) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/ (* sinTheta_O sinTheta_i) v) (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_O (/ v cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (* (/ (/ v cosTheta_O) cosTheta_i) v) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))
51.0ms	sinTheta_O	@	-inf	((/ (/ 1 v) (* (sinh (/ 1 v)) 2)) (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 v) (* (* cosTheta_O cosTheta_i) (/ 1/2 v)) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/ (* (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))) (/ cosTheta_O (/ v cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (pow (exp sinTheta_i) (/ sinTheta_O v)) (exp sinTheta_i) (/ sinTheta_O v) (sinh (/ 1 v)) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/ (* sinTheta_O sinTheta_i) v) (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_O (/ v cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (* (/ (/ v cosTheta_O) cosTheta_i) v) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))
30.0ms	cosTheta_i	@	inf	((/ (/ 1 v) (* (sinh (/ 1 v)) 2)) (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 v) (* (* cosTheta_O cosTheta_i) (/ 1/2 v)) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/ (* (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))) (/ cosTheta_O (/ v cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (pow (exp sinTheta_i) (/ sinTheta_O v)) (exp sinTheta_i) (/ sinTheta_O v) (sinh (/ 1 v)) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/ (* sinTheta_O sinTheta_i) v) (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_O (/ v cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (* (/ (/ v cosTheta_O) cosTheta_i) v) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))
29.0ms	cosTheta_i	@	0	((/ (/ 1 v) (* (sinh (/ 1 v)) 2)) (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 v) (* (* cosTheta_O cosTheta_i) (/ 1/2 v)) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/ (* (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))) (/ cosTheta_O (/ v cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (pow (exp sinTheta_i) (/ sinTheta_O v)) (exp sinTheta_i) (/ sinTheta_O v) (sinh (/ 1 v)) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/ (* sinTheta_O sinTheta_i) v) (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_O (/ v cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (* (/ (/ v cosTheta_O) cosTheta_i) v) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))
28.0ms	cosTheta_O	@	inf	((/ (/ 1 v) (* (sinh (/ 1 v)) 2)) (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 v) (* (* cosTheta_O cosTheta_i) (/ 1/2 v)) (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/ (* (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))) (/ cosTheta_O (/ v cosTheta_i)) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (pow (exp sinTheta_i) (/ sinTheta_O v)) (exp sinTheta_i) (/ sinTheta_O v) (sinh (/ 1 v)) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/ (* sinTheta_O sinTheta_i) v) (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ cosTheta_O (/ v cosTheta_i))) (* (* (sinh (/ 1 v)) 2) v)) (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (* (/ (/ v cosTheta_O) cosTheta_i) v) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))

simplify191.0ms (1.5%)

Memory

3.2MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	4162
1	2721	3984
0	8272	3839

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 140

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O cosTheta_i)
(/ (* 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_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)
(* 1/2 (/ (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i)))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(* -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 cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(* -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)
(+ (* 1/2 (/ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))))))
1
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(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(+ 1 sinTheta_i)
(+ 1 (* sinTheta_i (+ 1 (* 1/2 sinTheta_i))))
(+ 1 (* sinTheta_i (+ 1 (* sinTheta_i (+ 1/2 (* 1/6 sinTheta_i))))))
(/ 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)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) 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))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp sinTheta_i)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))))))
(+ (* 1/2 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))))))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(/ sinTheta_O v)
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1/2 (/ 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 (* 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)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ v (* cosTheta_O cosTheta_i))
(* v (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))
(* v (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))))
(* v (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))))))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(/ (+ 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 (* -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)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* v (+ (/ 1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (/ 1/120 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* v (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (+ (* 1/120 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/5040 (/ 1 (* cosTheta_O (* cosTheta_i (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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i))) (* 1/6 (/ 1 (* cosTheta_O cosTheta_i)))) v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O cosTheta_i)))) v)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i)))) (* 1/6 (/ 1 (* cosTheta_O cosTheta_i)))) v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) 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 (/ (* 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* -1 (/ (+ (* 1/6 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/120 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* 1/120 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/5040 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/6 (* cosTheta_O (* cosTheta_i (pow v 2)))) (/ 1 (* cosTheta_O cosTheta_i))))))

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

rewrite174.0ms (1.4%)

Memory

25.4MiB live, 299.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	324
0	102	321
1	333	310
2	2126	309
0	8382	305

Stop Event

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

Counts

28 → 1 337

Calls

Call 1

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

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

eval132.0ms (1%)

Memory: 31.6MiB live, 259.8MiB allocated
Compiler: Compiled 37 877 to 4 490 computations (88.1% saved)

prune176.0ms (1.4%)

Memory

-33.9MiB live, 321.4MiB allocated

Pruning

105 alts after pruning (99 fresh and 6 done)

	Pruned	Kept	Total
New	1 107	53	1 160
Fresh	21	46	67
Picked	3	2	5
Done	0	4	4
Total	1 131	105	1 236

Accuracy

99.9%

Counts

1 236 → 105

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal 2 binary32) v) (.f32 (/.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 #s(literal 2 binary32) v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
	98.4%	(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))) (/.f32 #s(literal 1 binary32) cosTheta_O))
	97.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.4%	(/.f32 (.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i) #s(literal 0 binary32))) (.f32 (/.f32 cosTheta_O v) 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 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) #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))
	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 (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)))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)) (/.f32 #s(literal 2 binary32) v)))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 2 binary32) (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1 binary32)))))
✓	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (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))
	69.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (-.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))) (pow.f32 (exp.f32 (log.f32 (/.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32))))
	63.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx (/ 2 (/ (/ 1 v) (sinh (/ 1 v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	95.1%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_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 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) v))))
✓	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_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)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 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))
	93.5%	(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))
	93.9%	(/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.8%	(/.f32 #s(literal 1/2 binary32) (.f32 #s(approx (pow (exp sinTheta_i) (/ sinTheta_O v)) #s(literal 1 binary32)) (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.5%	(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	57.6%	(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
	62.4%	(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i v) v)) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 cosTheta_i v) v) cosTheta_O)) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))))) v)))
	57.6%	(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 (/.f32 (neg.f32 sinTheta_O) cosTheta_O) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O))))))
	62.4%	(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)))
	98.6%	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	97.9%	(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
	98.6%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (exp.f32 (.f32 (log.f32 (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))))
	98.7%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) v))))
	98.8%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	54.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.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))))
	89.3%	(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
	50.4%	#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))
	57.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O)) (neg.f32 v)))
	50.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (/.f32 cosTheta_O (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) #s(literal 1/2 binary32))) (neg.f32 v)))
	57.1%	#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 (.f32 (.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O)) (neg.f32 v)))
	57.0%	#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 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta_O))))
	57.1%	#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 binary32) (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))) (neg.f32 v)))
	57.0%	#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 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta_i))))
	24.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)))))
	98.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.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)))))
	57.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) cosTheta_O) (neg.f32 v)))
	57.1%	#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))
	57.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
	57.1%	#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 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 v cosTheta_i)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 (.f32 cosTheta_i sinTheta_i) (/.f32 v sinTheta_O)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 (.f32 cosTheta_i sinTheta_O) (/.f32 v sinTheta_i)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 (neg.f32 cosTheta_i) (/.f32 v (.f32 (neg.f32 sinTheta_O) sinTheta_i))) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) #s(literal 1 binary32))) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 sinTheta_O sinTheta_i)) cosTheta_i)) #s(literal 1/2 binary32) (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 cosTheta_i v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (.f32 (.f32 cosTheta_i sinTheta_i) (/.f32 sinTheta_O v)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (.f32 (.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v)))
	57.1%	#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 (.f32 sinTheta_i (.f32 (/.f32 sinTheta_O v) cosTheta_i)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
	57.1%	#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 (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i v) cosTheta_i)) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
✓	57.1%	#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 (.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)))
	50.4%	#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))
	57.1%	#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 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i sinTheta_O) #s(literal -1/2 binary32))) sinTheta_O))) (neg.f32 v)))
	57.1%	#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 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i sinTheta_i) #s(literal -1/2 binary32))) sinTheta_i))) (neg.f32 v)))
	55.1%	#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))) v))
	57.0%	#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)))
	55.1%	#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_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
	57.2%	#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 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal 1/2 binary32)) cosTheta_O (.f32 (.f32 (.f32 cosTheta_i v) #s(literal -1/2 binary32)) cosTheta_O)) v)) (neg.f32 v)))
	57.1%	#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 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_i v))) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) #s(literal -1/2 binary32))) sinTheta_O)) (neg.f32 v)))
	57.1%	#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 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O v))) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) #s(literal -1/2 binary32))) sinTheta_i)) (neg.f32 v)))
	57.1%	#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 (neg.f32 sinTheta_i) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O v))) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) #s(literal 1/2 binary32))))) (neg.f32 v)))
	57.5%	#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 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
	57.5%	#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_O cosTheta_i) v))))
	57.5%	#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_O) cosTheta_i)))
	57.0%	#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)))
	57.0%	#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 binary32) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v)))
	57.0%	#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)))
	57.6%	#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 1 binary32) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))
	57.0%	#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))
	57.0%	#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_O) cosTheta_i))
✓	57.0%	#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)))
	57.6%	#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) v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i))))
✓	57.0%	#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)))
	8.3%	#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 (neg.f32 (pow.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (*.f32 cosTheta_i cosTheta_i)))))
	55.9%	#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 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i))))
	57.0%	#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 cosTheta_O (/.f32 v cosTheta_i))))
	57.6%	#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) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))))
	57.0%	#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 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)))))
	50.4%	#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 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))))
	50.4%	#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 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O sinTheta_O)) (/.f32 cosTheta_i v) (.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 sinTheta_i v))))) sinTheta_O)))
	50.4%	#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 #s(literal -1/2 binary32) cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
	57.1%	#s(approx (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (-.f32 (.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)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O)) v))
	55.0%	#s(approx (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_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) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
	57.1%	#s(approx (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O)) v))
	98.4%	#s(approx (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 9 880 to 3 843 computations (61.1% saved)

regimes689.0ms (5.4%)

Memory

2.7MiB live, 572.3MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

322.0ms	cosTheta_i
73.0ms	cosTheta_O
67.0ms	sinTheta_i
46.0ms	v
45.0ms	sinTheta_O

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes452.0ms (3.6%)

Memory

7.5MiB live, 168.8MiB 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 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 (.f32 (/.f32 #s(literal 1/2 binary32) v) 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 #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 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 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_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 #s(literal 1/2 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 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)))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (/.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 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O 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 #s(literal 1/2 binary32) (/.f32 (/.f32 v 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 cosTheta_O (/.f32 #s(literal 1 binary32) 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 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 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 2 binary32) (/.f32 #s(literal 1 binary32) 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 (neg.f32 (.f32 cosTheta_i cosTheta_i)) (*.f32 (/.f32 (neg.f32 v) cosTheta_O) cosTheta_i))))
#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 #s(literal -1/2 binary32) cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O 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 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)))))
#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) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) 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 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) cosTheta_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 (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(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 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 sinTheta_O (.f32 (/.f32 sinTheta_i v) cosTheta_i)) #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 sinTheta_i (.f32 (/.f32 sinTheta_O v) cosTheta_i)) #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 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) #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 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) (/.f32 sinTheta_O 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 sinTheta_O sinTheta_i) (/.f32 cosTheta_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 sinTheta_i) v) cosTheta_i) #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 sinTheta_i) cosTheta_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)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) cosTheta_O) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_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 (fma.f32 (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_O sinTheta_i))) #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 cosTheta_i sinTheta_O) (/.f32 v sinTheta_i)) #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 cosTheta_i sinTheta_i) (/.f32 v sinTheta_O)) #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 sinTheta_O sinTheta_i) (/.f32 v cosTheta_i)) #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 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) #s(literal 1/2 binary32)) cosTheta_O (.f32 (.f32 (.f32 cosTheta_i v) #s(literal -1/2 binary32)) cosTheta_O)) 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 (neg.f32 cosTheta_i) (/.f32 v (.f32 (neg.f32 sinTheta_O) sinTheta_i))) #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 #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i sinTheta_i) #s(literal -1/2 binary32))) 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 (.f32 cosTheta_O #s(approx (+ ( (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2)) (.f32 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i sinTheta_O) #s(literal -1/2 binary32))) 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 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (/.f32 cosTheta_O (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) 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 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #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 #s(literal -1 binary32) (neg.f32 (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v)))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.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(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O v))) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) #s(literal -1/2 binary32))) 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 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_i v))) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O)) #s(literal -1/2 binary32))) 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 (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 sinTheta_O sinTheta_i)) cosTheta_i)) #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 #s(approx (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (.f32 (neg.f32 sinTheta_i) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O v))) #s(literal -1/2 binary32) (.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) #s(literal 1/2 binary32))))) (neg.f32 v)))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 (/.f32 (neg.f32 sinTheta_O) cosTheta_O) (/.f32 sinTheta_i (.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) #s(literal 1 binary32))) #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)) #s(approx (/ (* cosTheta_O (+ (* (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)) 1/2) (* cosTheta_i -1/2))) (neg v)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O sinTheta_O)) (/.f32 cosTheta_i v) (.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 sinTheta_i v))))) sinTheta_O)))
(.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.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))))
#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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) cosTheta_i (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_O) #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 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (.f32 sinTheta_O sinTheta_O) #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))
#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))
#s(approx (* (* cosTheta_O cosTheta_i) (* (/ (pow (exp sinTheta_i) (/ (neg sinTheta_O) v)) v) (/ (/ 1 v) (* (sinh (/ 1 v)) 2)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O)) v))
#s(approx (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_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) #s(literal 1/2 binary32))) v)) (neg.f32 v)))
#s(approx (/ 1/2 (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (-.f32 (.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)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O)) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) cosTheta_i) cosTheta_O)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (pow.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (*.f32 cosTheta_i cosTheta_i)))))
#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) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) cosTheta_i) #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i v) v)) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 cosTheta_i v) v) cosTheta_O)) (fma.f32 (/.f32 sinTheta_O (.f32 cosTheta_i v)) (/.f32 sinTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))))) v)))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)))) (+.f32 #s(literal 0 binary32) (.f32 (.f32 cosTheta_i (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) (/.f32 cosTheta_O v)))))
(/.f32 #s(literal 1/2 binary32) (.f32 #s(approx (pow (exp sinTheta_i) (/ sinTheta_O v)) #s(literal 1 binary32)) (.f32 (*.f32 (/.f32 (/.f32 v cosTheta_O) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))))

Outputs

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

Calls

8 calls:

255.0ms	(*.f32 cosTheta_i cosTheta_O)
49.0ms	v
47.0ms	sinTheta_i
27.0ms	cosTheta_i
18.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
93.8%	1	`cosTheta_i`
93.8%	1	`cosTheta_O`
93.8%	1	`sinTheta_i`
93.8%	1	`sinTheta_O`
93.8%	1	`v`
93.8%	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))`
93.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
93.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes215.0ms (1.7%)

Memory

19.5MiB live, 170.0MiB allocated

Counts

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

Calls

8 calls:

55.0ms	cosTheta_O
35.0ms	sinTheta_O
34.0ms	cosTheta_i
18.0ms	(*.f32 cosTheta_i cosTheta_O)
18.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
57.6%	1	`cosTheta_i`
57.6%	1	`sinTheta_i`
57.6%	1	`sinTheta_O`
57.6%	1	`v`
57.6%	1	`cosTheta_O`
57.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.6%	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))`
57.6%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes337.0ms (2.7%)

Memory

-17.8MiB live, 59.2MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

230.0ms	(*.f32 cosTheta_i cosTheta_O)
62.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	sinTheta_i
7.0ms	cosTheta_i
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
57.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.6%	1	`sinTheta_i`
57.6%	1	`sinTheta_O`
57.6%	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))`
57.6%	1	`cosTheta_i`
57.6%	1	`cosTheta_O`
57.6%	1	`v`
57.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes505.0ms (4%)

Memory

-2.1MiB live, 78.7MiB allocated

Counts

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

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_O) cosTheta_i)))

Calls

8 calls:

232.0ms	sinTheta_i
230.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	cosTheta_i
7.0ms	sinTheta_O
7.0ms	v

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_i`
57.5%	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))`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_O`
57.5%	1	`sinTheta_O`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`v`
57.5%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes47.0ms (0.4%)

Memory

26.1MiB live, 64.2MiB 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 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 (.f32 (/.f32 #s(literal 1/2 binary32) v) 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 #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 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 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_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 #s(literal 1/2 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 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)))
(/.f32 #s(literal 1/2 binary32) #s(approx (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (* (/ (/ v cosTheta_O) cosTheta_i) v) (sinh (/ 1 v)))) (/.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 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))

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

Calls

8 calls:

17.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	v
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.5%	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))`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_i`
57.5%	1	`cosTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`v`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes209.0ms (1.6%)

Memory

-220.5MiB live, 50.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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 cosTheta_i) #s(literal 1/2 binary32)) v))

Calls

8 calls:

164.0ms	sinTheta_i
22.0ms	cosTheta_O
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.1%	1	`sinTheta_i`
57.1%	1	`v`
57.1%	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))`
57.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.1%	1	`cosTheta_i`
57.1%	1	`cosTheta_O`
57.1%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes23.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB 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 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 (.f32 (/.f32 #s(literal 1/2 binary32) v) 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 #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 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 #s(literal 1/2 binary32) cosTheta_i) 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 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
57.1%	1	`sinTheta_i`
57.1%	1	`v`
57.1%	1	`sinTheta_O`
57.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.1%	1	`cosTheta_i`
57.1%	1	`cosTheta_O`
57.1%	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))`
57.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes32.0ms (0.3%)

Memory

-13.9MiB live, 29.3MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

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

Calls

8 calls:

14.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
57.0%	1	`sinTheta_i`
57.0%	1	`v`
57.0%	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))`
57.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.0%	1	`cosTheta_i`
57.0%	1	`cosTheta_O`
57.0%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify26.0ms (0.2%)

Memory

6.2MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	266
1	91	266

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (8.2%)

Memory

15.6MiB live, 893.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	324
0	102	321
1	333	310
2	2126	309
0	8382	305
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	55	182
0	87	180
1	243	176
2	1339	170
0	8367	170
0	795	4162
1	2721	3984
0	8272	3839
0	253	1000
1	718	952
2	2526	870
3	6074	866
0	8158	846
0	16	31
0	25	31
1	64	31
2	267	31
3	1905	31
0	8545	31

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×	node limit
1×	iter limit

Compiler

Compiled 803 to 507 computations (36.9% saved)

preprocess251.0ms (2%)

Memory

-10.0MiB live, 377.1MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 2 144 to 1 308 computations (39% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze698.0ms (5.5%)

sample2.8s (21.9%)

explain404.0ms (3.2%)

preprocess197.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.2%)

localize84.0ms (0.7%)

series54.0ms (0.4%)

simplify114.0ms (0.9%)

rewrite231.0ms (1.8%)

eval61.0ms (0.5%)

prune162.0ms (1.3%)

simplify135.0ms (1.1%)

localize148.0ms (1.2%)

series254.0ms (2%)

simplify220.0ms (1.7%)

rewrite365.0ms (2.9%)

eval199.0ms (1.6%)

prune135.0ms (1.1%)

simplify130.0ms (1%)

localize151.0ms (1.2%)

series255.0ms (2%)

simplify140.0ms (1.1%)

rewrite191.0ms (1.5%)

eval173.0ms (1.4%)

prune131.0ms (1%)

simplify122.0ms (1%)

localize144.0ms (1.1%)

series362.0ms (2.8%)

simplify191.0ms (1.5%)

rewrite174.0ms (1.4%)

eval132.0ms (1%)

prune176.0ms (1.4%)

regimes689.0ms (5.4%)

regimes452.0ms (3.6%)

regimes215.0ms (1.7%)

regimes337.0ms (2.7%)

regimes505.0ms (4%)

regimes47.0ms (0.4%)

regimes209.0ms (1.6%)

regimes23.0ms (0.2%)

regimes32.0ms (0.3%)

simplify26.0ms (0.2%)

soundness1.0s (8.2%)

preprocess251.0ms (2%)

end0.0ms (0%)

Profiling