Metrics for HairBSDF, Mp, upper

analyze1.0s (4.9%)

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 66 to 41 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 615.0ms

ival-div: 158.0ms (25.7% of total)

ival-<=: 127.0ms (20.6% of total)

ival-mult: 112.0ms (18.2% of total)

...c/correct-round.rkt:119:19: 91.0ms (14.8% of total)

ival-sinh: 34.0ms (5.5% of total)

ival-exp: 30.0ms (4.9% of total)

ival-and: 26.0ms (4.2% of total)

ival-neg: 17.0ms (2.8% of total)

ival-<: 13.0ms (2.1% of total)

const: 5.0ms (0.8% of total)

backward-pass: 1.0ms (0.2% of total)

sample3.0s (14.6%)

Results

2.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 397.0ms (21.3% of total)

ival-<=: 351.0ms (18.8% of total)

...c/correct-round.rkt:119:19: 304.0ms (16.3% of total)

ival-sinh: 290.0ms (15.5% of total)

ival-div: 273.0ms (14.6% of total)

ival-and: 75.0ms (4% of total)

ival-exp: 71.0ms (3.8% of total)

ival-neg: 49.0ms (2.6% of total)

ival-<: 35.0ms (1.9% of total)

const: 17.0ms (0.9% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess329.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

5528×	`-lowering-.f32`
5528×	`-lowering-.f64`
1920×	`/-lowering-/.f32`
1920×	`/-lowering-/.f64`
1420×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	458
1	545	440
2	2099	422
0	19	21
1	56	21
2	187	20
3	774	20
4	3087	20
5	3833	20
6	5919	20
0	9140	20

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain243.0ms (1.2%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
1	(7.329719980993017e-30 1.4666617018447076e-17 -1.6599333254704494e-15 3.5060065961545206e-11 0.13088452816009521)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`cosTheta_O`
3	(2.328133748435611e-18 5.3815611499421004e-14 4.433105619946249e-24 3.3203108169098074e-23 0.1668413132429123)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
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 (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 sinTheta_i sinTheta_O)`
0	-	-	`sinTheta_O`
0	-	-	`cosTheta_i`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`v`
0	-	-	`sinTheta_i`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(/.f32 #s(literal 1 binary32) v)`

Results

170.0ms

512×

valid

Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 44.0ms (40.7% of total)

ival-sinh: 40.0ms (37% of total)

ival-div: 16.0ms (14.8% of total)

ival-exp: 4.0ms (3.7% of total)

ival-neg: 3.0ms (2.8% of total)

const: 1.0ms (0.9% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify243.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5702×	`-lowering-.f32`
5702×	`-lowering-.f64`
1902×	`+-lowering-+.f64`
1902×	`+-lowering-+.f32`
1532×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	42	76
2	119	76
3	550	76
4	2222	76
5	3536	76
6	6375	76
0	8541	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize94.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

78.0ms

256×

valid

Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 19.0ms (60.4% of total)

ival-mult: 7.0ms (22.3% of total)

ival-exp: 2.0ms (6.4% of total)

ival-sinh: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

series70.0ms (0.3%)

Counts

7 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
9.0ms	sinTheta_O	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
8.0ms	v	@	inf	(* (sinh (/ 1 v)) (* v 2))
5.0ms	v	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
4.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
2.0ms	cosTheta_O	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite292.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
3704×	`/-lowering-/.f32`
3704×	`/-lowering-/.f64`
1784×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	74	55
2	507	55
3	6546	55
0	8029	55

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 650

Calls

Call 1

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

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

simplify295.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

4980×	`-lowering-.f32`
4980×	`-lowering-.f64`
1590×	`+-lowering-+.f64`
1590×	`+-lowering-+.f32`
1388×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	3682
1	1260	3538
2	5579	3523
0	8085	3523

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval84.0ms (0.4%)

Compiler: Compiled 22004 to 2125 computations (90.3% saved)

prune198.0ms (1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	855	35	890
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	856	35	891

Accuracy

99.8%

Counts

891 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) v)
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	97.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.7%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
▶	98.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_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 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	64.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	97.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))) (.f32 v #s(literal 2 binary32))))
▶	71.1%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	98.1%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	98.6%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 #s(literal -1/2 binary32) v))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.3%	(/.f32 (/.f32 (.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.3%	(/.f32 (/.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	91.3%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.5%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	57.9%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
	98.5%	(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	59.3%	(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
	59.3%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
	57.9%	(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
	98.5%	(/.f32 (.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_i)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
▶	59.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	94.4%	(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal -1 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)))
	94.9%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) v))
▶	98.8%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
	98.9%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.8%	(.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
▶	99.0%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))

Compiler

Compiled 2404 to 1522 computations (36.7% saved)

simplify237.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4286×	`-lowering-.f32`
4286×	`-lowering-.f64`
3272×	`/-lowering-/.f32`
3272×	`/-lowering-/.f64`
1648×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	452
1	133	443
2	469	438
3	2523	426
4	5981	424
0	8104	424

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize231.0ms (1.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	98.6%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v))
✓	accuracy	99.0%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	accuracy	99.0%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.0%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.0%	(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

150.0ms

256×

valid

Compiler

Compiled 473 to 51 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div: 32.0ms (42.8% of total)

ival-mult: 19.0ms (25.4% of total)

...c/correct-round.rkt:119:19: 7.0ms (9.4% of total)

ival-neg: 6.0ms (8% of total)

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

ival-sinh: 3.0ms (4% of total)

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

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series99.0ms (0.5%)

Counts

25 → 732

Calls

Call 1

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

Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
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#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* 60 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* (pow v 3) (+ (* -1200 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (* (pow v 3) (+ (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -1200 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 1/2 (* (pow v 2) (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))))))))>
#<alt (* (pow v 3) (+ (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -1200 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* 1/2 (* (pow v 2) (+ (* -20 (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))) (* 288000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* 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)))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (+ (* -1 (* 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))))))) (* 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 (/ (+ (* 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)))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (* -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))>
#<alt (* -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))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))) (* 1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))) (* 1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
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#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (/ -1/120 (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>

Calls

183 calls:

Time	Variable		Point	Expression
4.0ms	sinTheta_O	@	inf	(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) cosTheta_i))
3.0ms	sinTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ (+ -1 (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))) (neg v)) (* v 2)))
3.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ (+ -1 (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))) (neg v)) (* v 2)))
2.0ms	sinTheta_O	@	-inf	(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) cosTheta_i))
2.0ms	sinTheta_i	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ (+ -1 (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))) (neg v)) (* v 2)))

rewrite368.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

5624×	`/-lowering-/.f32`
5624×	`/-lowering-/.f64`
3824×	`-lowering-.f32`
3824×	`-lowering-.f64`
1806×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	283
1	285	258
2	2705	253
0	8295	253

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1498

Calls

Call 1

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

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

simplify548.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

6030×	`-lowering-.f32`
6030×	`-lowering-.f64`
3910×	`+-lowering-+.f64`
3910×	`+-lowering-+.f32`
1980×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	732	13727
1	2808	13231
0	8112	13231

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

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

Outputs
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
(/ (* 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 cosTheta_i) (.f32 v v)) (.f32 (exp.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)))))
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(* 1/2 cosTheta_i)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.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 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 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 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(/ -1/120 (pow v 4))
(/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ -1/6 (pow v 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(/ -1/6 (pow v 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

eval627.0ms (3%)

Compiler: Compiled 80277 to 4896 computations (93.9% saved)

prune350.0ms (1.7%)

Pruning

54 alts after pruning (53 fresh and 1 done)

	Pruned	Kept	Total
New	2751	39	2790
Fresh	16	14	30
Picked	4	1	5
Done	0	0	0
Total	2771	54	2825

Accuracy

99.9%

Counts

2825 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	77.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	98.7%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	64.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	97.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))) (.f32 v #s(literal 2 binary32))))
	98.1%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	95.7%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 v cosTheta_O) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)))
	98.6%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	71.1%	(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 #s(literal -1/2 binary32) v))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.3%	(/.f32 (/.f32 (.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.9%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	98.5%	(/.f32 (/.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 binary32) v)))
	71.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	91.3%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
▶	95.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.5%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	71.1%	(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	57.9%	(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
	98.5%	(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i)) v))
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) v))
	59.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
✓	59.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	94.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
	60.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
	94.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
	78.0%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
	98.9%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	98.1%	(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
	98.7%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (.f32 v (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))))
	98.8%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	59.3%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
▶	60.2%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 cosTheta_O v))
	98.5%	(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
	59.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
▶	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
▶	98.1%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.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)))))
	57.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
▶	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	94.5%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))) (/.f32 cosTheta_O v))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))))

Compiler

Compiled 3348 to 2177 computations (35% saved)

simplify248.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
✓	cost-diff	64	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	3264	(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	3328	(/.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))))
✓	cost-diff	3360	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.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)))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	64	(/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)))
✓	cost-diff	3296	(pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32))
✓	cost-diff	3360	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	cost-diff	192	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
✓	cost-diff	256	(.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	cost-diff	288	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))

Rules

3868×	`-lowering-.f32`
3868×	`-lowering-.f64`
2872×	`/-lowering-/.f32`
2872×	`/-lowering-/.f64`
2036×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	368
1	125	341
2	435	315
3	2285	307
4	5509	307
0	8350	307

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize222.0ms (1.1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	95.0%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
✓	accuracy	99.0%	(/.f32 #s(literal -1 binary32) (*.f32 v v))
✓	accuracy	98.9%	(/.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))))
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	accuracy	97.7%	(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))
✓	accuracy	99.5%	(/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)))
✓	accuracy	99.0%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
✓	accuracy	94.7%	(pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	100.0%	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	accuracy	99.7%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	accuracy	99.1%	(/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	99.0%	(.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

143.0ms

256×

valid

Compiler

Compiled 400 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 34.0ms (43.3% of total)

ival-mult: 26.0ms (33.1% of total)

ival-exp: 7.0ms (8.9% of total)

ival-pow: 4.0ms (5.1% of total)

ival-sinh: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series70.0ms (0.3%)

Counts

26 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
17.0ms	sinTheta_i	@	inf	(/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (exp (/ sinTheta_i (/ v sinTheta_O))))
9.0ms	cosTheta_O	@	inf	(* (neg (* cosTheta_i cosTheta_O)) (/ (/ -1 (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))))
3.0ms	v	@	inf	(/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (exp (/ sinTheta_i (/ v sinTheta_O))))
1.0ms	cosTheta_i	@	0	(* (neg (* cosTheta_i cosTheta_O)) (/ (/ -1 (* v v)) (- (exp (/ 1 v)) (exp (/ -1 v)))))
1.0ms	sinTheta_i	@	0	(/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (exp (/ sinTheta_i (/ v sinTheta_O))))

rewrite335.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3658×	`/-lowering-/.f32`
3658×	`/-lowering-/.f64`
3272×	`-lowering-.f32`
3272×	`-lowering-.f64`
1226×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	252
1	251	199
2	1973	199
0	8468	199

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1166

Calls

Call 1

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

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

simplify713.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5720×	`-lowering-.f32`
5720×	`-lowering-.f64`
3308×	`+-lowering-+.f64`
3308×	`+-lowering-+.f32`
1908×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	830	10901
1	3035	10626
0	8181	10626

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

eval209.0ms (1%)

Compiler: Compiled 51059 to 4753 computations (90.7% saved)

prune435.0ms (2.1%)

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	2106	39	2145
Fresh	25	23	48
Picked	4	1	5
Done	0	1	1
Total	2135	64	2199

Accuracy

99.9%

Counts

2199 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(/.f32 (pow.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
▶	77.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.1%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
	98.6%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	71.1%	(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.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 binary32) v)))
	71.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	91.3%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	95.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
▶	95.1%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	95.1%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	60.2%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
	71.1%	(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	57.9%	(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
	57.8%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) v))
	59.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
▶	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
✓	59.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
	94.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
	60.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	94.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
	94.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.2%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
	60.0%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	78.0%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
	98.1%	(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
	98.5%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
	98.8%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v))
	59.3%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	59.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	97.4%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))))
	98.5%	(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 cosTheta_i)) cosTheta_O)
	59.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	98.5%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.5%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))))
	71.0%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
	64.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
	59.3%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.1%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
	57.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
	98.4%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v))))
	98.7%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
▶	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))))
	98.6%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal 1 binary32))))
	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.9%	(.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O (/.f32 (.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.3%	(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
	59.3%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))))
▶	59.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))

Compiler

Compiled 3480 to 2322 computations (33.3% saved)

simplify224.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
✓	cost-diff	64	(.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))
✓	cost-diff	256	(/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	256	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 v (*.f32 cosTheta_O cosTheta_i))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
✓	cost-diff	64	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))
✓	cost-diff	64	(+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32))
✓	cost-diff	128	(.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32)))
✓	cost-diff	128	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
✓	cost-diff	0	(/.f32 v cosTheta_i)
✓	cost-diff	0	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	cost-diff	192	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))
✓	cost-diff	256	(.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))
✓	cost-diff	288	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))))

Rules

4982×	`-lowering-.f32`
4982×	`-lowering-.f64`
2960×	`/-lowering-/.f32`
2960×	`/-lowering-/.f64`
1602×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	838
1	243	792
2	849	722
3	4152	707
0	8540	707

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (neg (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(neg (* cosTheta_i cosTheta_O))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/ -1 v)
-1
v
(/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2))))
(/ 1/2 v)
1/2
(/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))
1
(/ 2 (* (sinh (/ 1 v)) 2))
2
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))
(/ sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))
(+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v))
(/ 1/6 (* v v))
1/6
(* v v)
(/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(* 1/2 (* sinTheta_O sinTheta_O))
(* 1/2 (/ cosTheta_O (/ v cosTheta_i)))
1/2
(/ cosTheta_O (/ v cosTheta_i))
cosTheta_O
(/ v cosTheta_i)
v
cosTheta_i
(/ (* (* cosTheta_O cosTheta_i) -1/2) (* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)))
(* (* cosTheta_O cosTheta_i) -1/2)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1/2
(* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1))
v
(+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)
(/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v)))
(+ 1/6 (/ 1/120 (* v v)))
1/6
(/ 1/120 (* v v))
1/120
(* v v)
(- 0 (* v v))
0
-1
(/ (/ 1 (/ v (* cosTheta_O cosTheta_i))) (* (sinh (/ 1 v)) (* v 2)))
(/ 1 (/ v (* cosTheta_O cosTheta_i)))
1
(/ v (* cosTheta_O cosTheta_i))
v
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(* (sinh (/ 1 v)) (* v 2))
(sinh (/ 1 v))
(/ 1 v)
(* v 2)
2
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v)))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v))
(* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2)
(/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v))
(- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v))))
(neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v))))
(/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))
(+ 1/120 (/ 1/5040 (* v v)))
1/120
(/ 1/5040 (* v v))
1/5040
(* v v)
(* (* v v) (* v v))
(+ 1 (/ 1/6 (* v v)))
1
(/ 1/6 (* v v))
1/6
(neg v)
2
(/ 1 v)

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

localize394.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	98.6%	(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
✓	accuracy	98.3%	(.f32 (.f32 v v) (*.f32 v v))
✓	accuracy	99.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	95.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
✓	accuracy	99.0%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
✓	accuracy	99.0%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	99.0%	(.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32)))
✓	accuracy	98.0%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 v cosTheta_i)
✓	accuracy	99.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓	accuracy	99.5%	(/.f32 cosTheta_O (/.f32 v cosTheta_i))
✓	accuracy	98.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

264.0ms

256×

valid

Compiler

Compiled 902 to 77 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 58.0ms (34.9% of total)

ival-mult: 55.0ms (33.1% of total)

ival-add: 30.0ms (18% of total)

...c/correct-round.rkt:119:19: 11.0ms (6.6% of total)

ival-neg: 4.0ms (2.4% of total)

ival-sinh: 3.0ms (1.8% of total)

ival-exp: 2.0ms (1.2% of total)

ival-sub: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

backward-pass: 0.0ms (0% of total)

series125.0ms (0.6%)

Counts

29 → 684

Calls

Call 1

Inputs
#<alt (* (neg (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))>
#<alt (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))>
#<alt (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))>
#<alt (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2))))>
#<alt (* 1/2 (/ cosTheta_O (/ v cosTheta_i)))>
#<alt (/ cosTheta_O (/ v cosTheta_i))>
#<alt (/ v cosTheta_i)>
#<alt (/ (* (* cosTheta_O cosTheta_i) -1/2) (* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)))>
#<alt (* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1))>
#<alt (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)>
#<alt (* (* cosTheta_O cosTheta_i) -1/2)>
#<alt (/ (/ 1 (/ v (* cosTheta_O cosTheta_i))) (* (sinh (/ 1 v)) (* v 2)))>
#<alt (/ 1 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (/ v (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v)))>
#<alt (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v))>
#<alt (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2)>
#<alt (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v))>
#<alt (sinh (/ 1 v))>
#<alt (/ 1/6 (* v v))>
#<alt (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))>
#<alt (/ 1/120 (* v v))>
#<alt (+ 1/6 (/ 1/120 (* v v)))>
#<alt (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v)))>
#<alt (* (sinh (/ 1 v)) (* v 2))>
#<alt (* (* v v) (* v v))>
#<alt (+ 1/120 (/ 1/5040 (* v v)))>
#<alt (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))>

Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))>
#<alt (* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))>
#<alt (* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -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)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* 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))>
#<alt (* -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))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))>
#<alt (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))>
#<alt (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 3))>
#<alt (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3)))>
#<alt (* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))>
#<alt (* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -1/2 (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* 3 (/ (* v (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
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#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (/ 1/2520 (pow v 6))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 6))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* 1/3 (pow v 2))))) (pow v 6))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (pow v 6))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ 1/2520 (pow v 7))>
#<alt (/ (+ 1/2520 (* 1/60 (pow v 2))) (pow v 7))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* 1/3 (pow v 2))))) (pow v 7))>
#<alt (/ (+ 1/2520 (* (pow v 2) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (pow v 7))>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))>
#<alt (/ 1/5040 (pow v 7))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 7))>
#<alt (/ (+ 1/5040 (* (pow v 2) (+ 1/120 (* 1/6 (pow v 2))))) (pow v 7))>
#<alt (/ (+ 1/5040 (* (pow v 2) (+ 1/120 (* (pow v 2) (+ 1/6 (pow v 2)))))) (pow v 7))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (/ -1/120 (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (pow v 4)>
#<alt (/ 1/5040 (pow v 2))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt (+ 1/120 (* 1/5040 (/ 1 (pow v 2))))>
#<alt (/ 1/5040 (pow v 6))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))>
#<alt (/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))>
#<alt (/ 1/120 (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ 1/120 (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>
#<alt (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))>

Calls

171 calls:

Time	Variable		Point	Expression
8.0ms	v	@	0	(/ (* (* cosTheta_O cosTheta_i) -1/2) (* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)))
7.0ms	sinTheta_i	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v)))
7.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v)))
6.0ms	v	@	0	(* (neg (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
6.0ms	cosTheta_i	@	0	(* (neg (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))

rewrite386.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3446×	`-lowering-.f32`
3446×	`-lowering-.f64`
3342×	`/-lowering-/.f32`
3342×	`/-lowering-/.f64`
2024×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	452
1	532	375
2	5497	367
0	8072	367

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 796

Calls

Call 1

Inputs
(* (neg (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(* (/ -1 v) (/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/ (/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2)))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (* (/ 1/6 (* v v)) (/ (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))) v)) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(/ (/ 1/2 v) (/ 1 (/ 2 (* (sinh (/ 1 v)) 2))))
(* 1/2 (/ cosTheta_O (/ v cosTheta_i)))
(/ cosTheta_O (/ v cosTheta_i))
(/ v cosTheta_i)
(/ (* (* cosTheta_O cosTheta_i) -1/2) (* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)))
(* v (+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1))
(+ (/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v))) -1)
(* (* cosTheta_O cosTheta_i) -1/2)
(/ (/ 1 (/ v (* cosTheta_O cosTheta_i))) (* (sinh (/ 1 v)) (* v 2)))
(/ 1 (/ v (* cosTheta_O cosTheta_i)))
(/ v (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v)))
(/ (* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2) (/ 1 v))
(* (/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v)) 2)
(/ (- (neg (/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))) (+ 1 (/ 1/6 (* v v)))) (neg v))
(sinh (/ 1 v))
(/ 1/6 (* v v))
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(/ 1/120 (* v v))
(+ 1/6 (/ 1/120 (* v v)))
(/ (+ 1/6 (/ 1/120 (* v v))) (- 0 (* v v)))
(* (sinh (/ 1 v)) (* v 2))
(* (* v v) (* v v))
(+ 1/120 (/ 1/5040 (* v v)))
(/ (+ 1/120 (/ 1/5040 (* v v))) (* (* v v) (* v v)))

Outputs
(neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))))
(-.f32 #s(literal 0 binary32) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 v (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))
(/.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))) v)
(.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
(.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) cosTheta_i) (neg.f32 cosTheta_O))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))) #s(literal -1 binary32)) (.f32 cosTheta_i cosTheta_O))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (neg.f32 cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
(/.f32 #s(literal -1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (neg.f32 v)))
(/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
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(fma.f32 (/.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v) #s(literal 1/120 binary32))
(-.f32 (/.f32 #s(literal 1/14400 binary32) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v)))) (/.f32 (/.f32 #s(literal 1/25401600 binary32) (.f32 v (.f32 v (.f32 v v)))) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))))
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simplify488.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6184×	`-lowering-.f32`
6184×	`-lowering-.f64`
3824×	`+-lowering-+.f64`
3824×	`+-lowering-+.f32`
2218×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1290	14331
1	4820	14042
0	8561	14042

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* 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 (* 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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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -1/2 (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* 3 (/ (* v (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* 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)))))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 3))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* v (- (* 18 (/ v (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* v (- (* v (+ (* -18 (/ v (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* v (- (* v (+ (* v (- (* -18 (/ v (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(/ -1/2 v)
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) 1/2) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))) 1/2) v)
(/ -1/2 v)
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
(/ -1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(- (/ (* 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_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(- (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 3) (* (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))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -6 (/ v (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 18 (/ (pow v 2) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/ (- (+ (* -6 (/ v (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -36 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2)))) (* -18 (/ (pow v 2) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/ (- (+ (* -6 (/ v (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -36 (/ (pow v 4) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -36 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 108 (/ (pow v 4) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3)))) (+ (* -36 (/ (pow v 3) (* (pow sinTheta_O 5) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -18 (/ (pow v 2) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_O 5) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (pow sinTheta_i 3))
(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 2520 (/ (* cosTheta_O (* cosTheta_i (pow v 5))) (exp (/ (* sinTheta_O sinTheta_i) v))))
(* (pow v 5) (+ (* -105840 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 2520 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))
(* (pow v 5) (+ (* 2520 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -105840 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* -1/2 (* (pow v 2) (+ (* -8890560 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 4233600 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))))))))
(* (pow v 5) (+ (* 2520 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -105840 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -1/2 (* (pow v 2) (+ (* -177811200 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (+ (* -42 (+ (* -8890560 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 4233600 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))) (* 25401600 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))))) (* -1/2 (+ (* -8890560 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 4233600 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_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)))))) (* 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))))))))))) 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))))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
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(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
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(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/ 1/120 (pow v 4))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 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)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 1 (+ (* 1/5040 (/ 1 (pow v 6))) (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
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(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ 1/120 (pow v 2))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) #s(literal 1/6 binary32))) (*.f32 v v))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
(/ -1/120 (pow v 4))
(/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))
(/ -1/6 (pow v 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(/ -1/6 (pow v 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 v v))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v)))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.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) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (.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) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(pow v 4)
(.f32 (.f32 v v) (*.f32 v v))
(/ 1/5040 (pow v 2))
(/.f32 #s(literal 1/5040 binary32) (*.f32 v v))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (*.f32 v v))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (*.f32 v v))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (*.f32 v v))
1/120
#s(literal 1/120 binary32)
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
1/120
#s(literal 1/120 binary32)
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
(+ 1/120 (* 1/5040 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))
(/ 1/5040 (pow v 6))
(/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (pow.f32 v #s(literal 6 binary32)))
(/ (+ 1/5040 (* 1/120 (pow v 2))) (pow v 6))
(/.f32 (+.f32 #s(literal 1/5040 binary32) (.f32 (.f32 v v) #s(literal 1/120 binary32))) (pow.f32 v #s(literal 6 binary32)))
(/ 1/120 (pow v 4))
(/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ 1/120 (pow v 4))
(/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (*.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))
(/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))
(/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))

eval167.0ms (0.8%)

Compiler: Compiled 58030 to 4828 computations (91.7% saved)

prune401.0ms (1.9%)

Pruning

99 alts after pruning (95 fresh and 4 done)

	Pruned	Kept	Total
New	1508	63	1571
Fresh	25	32	57
Picked	3	2	5
Done	0	2	2
Total	1536	99	1635

Accuracy

99.9%

Counts

1635 → 99

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.2%	(/.f32 (pow.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	78.0%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) v)) (/.f32 v #s(literal 1/2 binary32)))
	98.2%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	77.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	71.1%	(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.1%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	71.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	59.3%	(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
	95.1%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	94.4%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	64.5%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	69.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
	76.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	69.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	69.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
	95.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32))))
	98.9%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
	98.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))
	71.0%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
	98.2%	(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) v))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
	59.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
	59.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
	56.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
	56.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
✓	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
	64.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
	71.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
	98.2%	(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_i)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	59.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
	91.1%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	94.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	94.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
	60.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	69.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
	94.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	69.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
	60.2%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
	60.0%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	69.8%	(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
	71.0%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
	97.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
	71.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
	71.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
	59.3%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	98.2%	(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
	71.1%	(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
	71.1%	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	59.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
	97.4%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))))
	51.4%	(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
	51.1%	(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
	59.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	59.3%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	55.9%	(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
	98.5%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	71.0%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
	64.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
	59.3%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
	57.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
	98.4%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v))))
	78.0%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
	98.6%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal 1 binary32))))
	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.9%	(.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O (/.f32 (.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	71.1%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
	59.3%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	71.1%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
	71.1%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
✓	59.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	59.3%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
	59.3%	(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))

Compiler

Compiled 7111 to 2656 computations (62.6% saved)

regimes440.0ms (2.1%)

Counts

178 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_i)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (-.f32 (.f32 (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))) (/.f32 cosTheta_O v))
(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal -1 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)))
(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (pow.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O (/.f32 v cosTheta_i))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 (.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

63.0ms	(*.f32 sinTheta_i sinTheta_O)
59.0ms	v
49.0ms	sinTheta_O
49.0ms	sinTheta_i
48.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	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))`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes398.0ms (1.9%)

Counts

154 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

65.0ms	sinTheta_i
57.0ms	sinTheta_O
44.0ms	cosTheta_O
44.0ms	(*.f32 sinTheta_i sinTheta_O)
42.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
98.9%	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))`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes254.0ms (1.2%)

Counts

121 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

35.0ms	sinTheta_i
34.0ms	sinTheta_O
34.0ms	cosTheta_i
33.0ms	v
33.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`v`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes301.0ms (1.4%)

Counts

118 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 cosTheta_i)) cosTheta_O)
(.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_i)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 #s(literal -1/2 binary32) v))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) v)) (/.f32 v #s(literal 1/2 binary32)))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 v (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))))))))

Outputs

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

Calls

7 calls:

67.0ms	v
41.0ms	cosTheta_i
40.0ms	sinTheta_O
34.0ms	sinTheta_i
33.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes315.0ms (1.5%)

Counts

117 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
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(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 cosTheta_i (/.f32 cosTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 #s(literal -1/2 binary32) v))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) v)) (/.f32 v #s(literal 1/2 binary32)))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (neg.f32 v)) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))

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

Calls

7 calls:

63.0ms	sinTheta_O
62.0ms	cosTheta_i
39.0ms	(*.f32 sinTheta_i sinTheta_O)
35.0ms	sinTheta_i
34.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`cosTheta_i`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`cosTheta_O`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes177.0ms (0.9%)

Counts

97 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 cosTheta_i)) cosTheta_O)
(.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v))))

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

Calls

6 calls:

29.0ms	v
28.0ms	cosTheta_i
28.0ms	sinTheta_i
27.0ms	sinTheta_O
26.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`cosTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes201.0ms (1%)

Counts

86 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 (.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 cosTheta_i)) cosTheta_O)

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

Calls

6 calls:

42.0ms	v
36.0ms	cosTheta_i
29.0ms	cosTheta_O
29.0ms	sinTheta_O
25.0ms	sinTheta_i

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes168.0ms (0.8%)

Counts

85 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))

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

Calls

6 calls:

30.0ms	sinTheta_i
28.0ms	cosTheta_i
27.0ms	v
25.0ms	sinTheta_O
24.0ms	cosTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes200.0ms (1%)

Counts

80 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v))
(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))

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

Calls

6 calls:

42.0ms	v
39.0ms	cosTheta_i
33.0ms	(*.f32 cosTheta_i cosTheta_O)
23.0ms	cosTheta_O
23.0ms	sinTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes154.0ms (0.7%)

Counts

75 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))

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

Calls

6 calls:

34.0ms	cosTheta_i
22.0ms	sinTheta_i
22.0ms	v
21.0ms	sinTheta_O
20.0ms	cosTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes172.0ms (0.8%)

Counts

72 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))

Outputs

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

Calls

6 calls:

38.0ms	(*.f32 cosTheta_i cosTheta_O)
33.0ms	cosTheta_O
27.0ms	sinTheta_i
20.0ms	cosTheta_i
20.0ms	v

Results

Accuracy	Segments	Branch
78.0%	1	`cosTheta_i`
78.0%	1	`cosTheta_O`
78.0%	1	`sinTheta_i`
78.0%	1	`v`
78.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
78.0%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes157.0ms (0.8%)

Counts

70 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 #s(literal -1/120 binary32) (.f32 (.f32 v v) (.f32 v v)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 v (.f32 v v))))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) v)))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 #s(literal -1200 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32))))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))))))
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 #s(literal -1/2 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))) (neg.f32 (.f32 v v))) v))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))) v)
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (*.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (+.f32 (.f32 (.f32 v v) #s(literal -1/6 binary32)) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 v (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (*.f32 v v))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (/.f32 (+.f32 (.f32 (.f32 v v) (+.f32 (-.f32 #s(literal 0 binary32) (.f32 v v)) #s(literal -1/6 binary32))) #s(literal -1/120 binary32)) (.f32 (.f32 v v) (*.f32 v v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (-.f32 #s(literal 0 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 0 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 v v)) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v v) (.f32 v v))))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))) (.f32 (neg.f32 (.f32 v v)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v)))) #s(literal 1/36 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) v) v) #s(literal 1/6 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/14400 binary32) (.f32 v (.f32 v (.f32 v v))))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 (.f32 v v) (.f32 v (.f32 v (.f32 v v)))))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32))))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i))) (.f32 (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (.f32 (.f32 v v) (.f32 v v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(.f32 (.f32 v (.f32 v v)) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 60 binary32)) (.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1200 binary32)) (.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 v v) (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)) #s(literal -20 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 288000 binary32)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 33600 binary32)))))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) v) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) (/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v))))) #s(literal -1 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(/.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))) v) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))

Outputs

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

Calls

6 calls:

35.0ms	sinTheta_i
21.0ms	v
20.0ms	cosTheta_O
19.0ms	cosTheta_i
18.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
76.0%	1	`sinTheta_O`
76.0%	1	`sinTheta_i`
76.0%	1	`cosTheta_i`
76.0%	1	`cosTheta_O`
76.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
76.0%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes133.0ms (0.6%)

Counts

64 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

34.0ms	sinTheta_O
22.0ms	sinTheta_i
18.0ms	cosTheta_i
18.0ms	v
17.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
71.1%	1	`cosTheta_i`
71.1%	1	`cosTheta_O`
71.1%	1	`sinTheta_i`
71.1%	1	`sinTheta_O`
71.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.1%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes103.0ms (0.5%)

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

17.0ms	cosTheta_i
16.0ms	sinTheta_i
16.0ms	cosTheta_O
16.0ms	(*.f32 cosTheta_i cosTheta_O)
16.0ms	v

Results

Accuracy	Segments	Branch
71.1%	1	`cosTheta_i`
71.1%	1	`cosTheta_O`
71.1%	1	`sinTheta_i`
71.1%	1	`sinTheta_O`
71.1%	1	`v`
71.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes84.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

33.0ms	sinTheta_O
11.0ms	cosTheta_O
10.0ms	cosTheta_i
9.0ms	sinTheta_i
9.0ms	v

Results

Accuracy	Segments	Branch
71.1%	1	`sinTheta_i`
71.1%	1	`sinTheta_O`
71.1%	1	`v`
71.1%	1	`cosTheta_O`
71.1%	1	`cosTheta_i`
71.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes77.0ms (0.4%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	cosTheta_i
11.0ms	v
10.0ms	sinTheta_O
9.0ms	sinTheta_i
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
64.9%	1	`sinTheta_i`
64.9%	1	`sinTheta_O`
64.9%	1	`cosTheta_O`
64.9%	1	`v`
64.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.9%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes46.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_i))
(.f32 (.f32 #s(literal 60 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 v (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v v))))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) v))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (/.f32 #s(literal 2 binary32) v)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
60.2%	1	`sinTheta_i`
60.2%	1	`sinTheta_O`
60.2%	1	`cosTheta_i`
60.2%	1	`v`
60.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.2%	1	`cosTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes38.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	v
7.0ms	sinTheta_O
6.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	cosTheta_i
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
60.2%	1	`sinTheta_O`
60.2%	1	`sinTheta_i`
60.2%	1	`v`
60.2%	1	`cosTheta_O`
60.2%	1	`cosTheta_i`
60.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes30.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
60.0%	1	`sinTheta_O`
60.0%	1	`sinTheta_i`
60.0%	1	`cosTheta_O`
60.0%	1	`v`
60.0%	1	`cosTheta_i`
60.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	sinTheta_O
2.0ms	cosTheta_i
2.0ms	v
2.0ms	sinTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.3%	1	`sinTheta_O`
59.3%	1	`v`
59.3%	1	`sinTheta_i`
59.3%	1	`cosTheta_i`
59.3%	1	`cosTheta_O`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	cosTheta_O
2.0ms	cosTheta_i
1.0ms	sinTheta_i
1.0ms	sinTheta_O
1.0ms	v

Results

Accuracy	Segments	Branch
59.3%	1	`v`
59.3%	1	`sinTheta_i`
59.3%	1	`sinTheta_O`
59.3%	1	`cosTheta_i`
59.3%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify180.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1204×	`unsub-neg_binary32`
1064×	`distribute-lft-neg-in_binary32`
1008×	`neg-mul-1_binary32`
610×	`neg-sub0_binary32`
560×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	528
1	256	525
2	371	520
3	564	518
4	791	515
5	1101	515
6	1515	515
7	2221	515
8	3008	515
9	3492	515
10	3856	515
11	4169	515
12	4213	515
13	4226	515
14	4244	515
15	4355	515
16	4382	515
17	4382	515
18	4382	515

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.0s (19.1%)

Rules

6184×	`-lowering-.f32`
6184×	`-lowering-.f64`
6030×	`-lowering-.f32`
6030×	`-lowering-.f64`
5720×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	252
1	251	199
2	1973	199
0	8468	199
0	19	21
1	56	21
2	187	20
3	774	20
4	3087	20
5	3833	20
6	5919	20
0	9140	20
0	732	13727
1	2808	13231
0	8112	13231
0	76	452
1	532	375
2	5497	367
0	8072	367
0	830	10901
1	3035	10626
0	8181	10626
0	50	283
1	285	258
2	2705	253
0	8295	253
0	1290	14331
1	4820	14042
0	8561	14042
0	349	3682
1	1260	3538
2	5579	3523
0	8085	3523
0	18	55
1	74	55
2	507	55
3	6546	55
0	8029	55

Stop Event

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

Compiler

Compiled 1890 to 1150 computations (39.2% saved)

preprocess371.0ms (1.8%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 4678 to 2626 computations (43.9% saved)

analyze1.0s (4.9%)

sample3.0s (14.6%)

preprocess329.0ms (1.6%)

explain243.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify243.0ms (1.2%)

localize94.0ms (0.5%)

series70.0ms (0.3%)

rewrite292.0ms (1.4%)

simplify295.0ms (1.4%)

eval84.0ms (0.4%)

prune198.0ms (1%)

simplify237.0ms (1.1%)

localize231.0ms (1.1%)

series99.0ms (0.5%)

rewrite368.0ms (1.8%)

simplify548.0ms (2.6%)

eval627.0ms (3%)

prune350.0ms (1.7%)

simplify248.0ms (1.2%)

localize222.0ms (1.1%)

series70.0ms (0.3%)

rewrite335.0ms (1.6%)

simplify713.0ms (3.4%)

eval209.0ms (1%)

prune435.0ms (2.1%)

simplify224.0ms (1.1%)

localize394.0ms (1.9%)

series125.0ms (0.6%)

rewrite386.0ms (1.9%)

simplify488.0ms (2.4%)

eval167.0ms (0.8%)

prune401.0ms (1.9%)

regimes440.0ms (2.1%)

regimes398.0ms (1.9%)

regimes254.0ms (1.2%)

regimes301.0ms (1.4%)

regimes315.0ms (1.5%)

regimes177.0ms (0.9%)

regimes201.0ms (1%)

regimes168.0ms (0.8%)

regimes200.0ms (1%)

regimes154.0ms (0.7%)

regimes172.0ms (0.8%)

regimes157.0ms (0.8%)

regimes133.0ms (0.6%)

regimes103.0ms (0.5%)

regimes84.0ms (0.4%)

regimes77.0ms (0.4%)

regimes46.0ms (0.2%)

regimes38.0ms (0.2%)

regimes30.0ms (0.1%)

regimes16.0ms (0.1%)

regimes8.0ms (0%)

simplify180.0ms (0.9%)

soundness4.0s (19.1%)

preprocess371.0ms (1.8%)

end0.0ms (0%)

Profiling