Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze309.0ms (4.3%)

Memory

-6.3MiB live, 188.1MiB allocated; 93ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
0%	0%	1.5%	97%	0%	1.5%	0%	11
0%	0%	1.5%	97%	0%	1.5%	0%	12

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.0s (28%)

Memory

-51.8MiB live, 997.5MiB allocated; 1.6s collecting garbage

Samples

1.6s	8 255×	0	valid
14.0ms	141×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 739.0ms

ival-div!: 211.0ms (28.6% of total)

ival-exp: 170.0ms (23% of total)

ival-mult!: 154.0ms (20.8% of total)

ival-log: 100.0ms (13.5% of total)

ival-sub!: 41.0ms (5.5% of total)

ival-add!: 36.0ms (4.9% of total)

ival-<=: 15.0ms (2% of total)

ival-and: 10.0ms (1.4% of total)

adjust: 2.0ms (0.3% of total)

ival-assert: 2.0ms (0.3% of total)

const: 0.0ms (0% of total)

Bogosity

preprocess55.0ms (0.8%)

Memory

-18.5MiB live, 26.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	460
1	635	384
2	2674	384

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Status

Accuracy

Program

▶

99.4%

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 44 to 42 computations (4.5% saved)

series132.0ms (1.8%)

Memory

10.5MiB live, 108.5MiB allocated; 15ms collecting garbage

Counts

21 → 104

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

Outputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1 (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (* 2 v) #s(hole binary32 (* 2 v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 6931/10000))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	v	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2)
31.0ms	v	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2)
11.0ms	sinTheta_O	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2)
9.0ms	v	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2)
8.0ms	cosTheta_i	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) cosTheta_i cosTheta_O v (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_i sinTheta_O (/ 1 v) 1 6931/10000 (log (/ 1 (* 2 v))) (/ 1 (* 2 v)) (* 2 v) 2)

rewrite1.1s (15.3%)

Memory

20.0MiB live, 491.9MiB allocated; 188ms collecting garbage

Counts

125 → 122

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1 (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (* 2 v) #s(hole binary32 (* 2 v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 6931/10000))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) #s(hole binary32 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))
#s(approx (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))))
#s(approx (log (/ 1 (* 2 v))) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Outputs
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (neg.f32 (log.f32 (+.f32 v v)))))
(+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (neg.f32 (log.f32 (+.f32 v v))))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(neg.f32 (log.f32 (+.f32 v v)))
(/.f32 #s(literal 1 binary32) (+.f32 v v))
(+.f32 v v)
#s(literal 2 binary32)
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_O) (.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 (.f32 v v) v)) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))) cosTheta_i (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
#s(approx (/ (* cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (* cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))
#s(approx cosTheta_i cosTheta_i)
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal 6931/10000 binary32) (/.f32 cosTheta_O v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_i))) cosTheta_i))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal 6931/10000 binary32) (/.f32 cosTheta_O v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_i))) cosTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (*.f32 (+.f32 (/.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (.f32 (+.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 v cosTheta_i))) (/.f32 cosTheta_O v)) cosTheta_i))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i)) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i)) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_i)) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_i)) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_i)) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 (.f32 v v) v)) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))) cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx cosTheta_O cosTheta_O)
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal 6931/10000 binary32) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O))) cosTheta_O))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal 6931/10000 binary32) (/.f32 cosTheta_i v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O))) cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (*.f32 (+.f32 (/.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (.f32 (+.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (*.f32 v cosTheta_O))) (/.f32 cosTheta_i v)) cosTheta_O))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_O) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_i (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (+.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))
#s(approx sinTheta_i sinTheta_i)
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_i))) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_i)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_i))) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i)))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_i)) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_O (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx sinTheta_O sinTheta_O)
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 cosTheta_i (/.f32 cosTheta_O v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v sinTheta_O))) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O)))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (/.f32 (-.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))) v (.f32 cosTheta_i cosTheta_O)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_i cosTheta_O)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx v v)
#s(approx (/ 1 v) (/.f32 #s(literal 1 binary32) v))
#s(approx (neg (log (* 2 v))) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ 1 (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))
#s(approx (* 2 v) (+.f32 v v))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (fma.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 (.f32 v v) v))) (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (-.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) #s(literal 6931/10000 binary32))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O)))) v)) #s(literal -1/2 binary32) (.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (fma.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) (neg.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (pow.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))) (.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O)))))) v))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))
#s(approx (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v)))) (+.f32 (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 6931/10000 binary32)))
#s(approx (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (neg.f32 (.f32 sinTheta_i sinTheta_O))) v)))
#s(approx (neg (log (* 2 v))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))

eval11.0ms (0.1%)

Memory: 9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 948 to 470 computations (75.9% saved)

prune8.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Accuracy

99.8%

Counts

123 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(*.f32 sinTheta_i sinTheta_O)
	46.3%	(*.f32 cosTheta_i cosTheta_O)
	36.3%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
	7.6%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
▶	99.4%	#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
▶	11.0%	#s(approx v v)
	9.9%	#s(approx sinTheta_i sinTheta_i)
▶	11.3%	#s(approx sinTheta_O sinTheta_O)
	10.6%	#s(approx cosTheta_i cosTheta_i)
▶	10.7%	#s(approx cosTheta_O cosTheta_O)

Compiler

Compiled 156 to 208 computations (-33.3% saved)

series70.0ms (1%)

Memory

-43.1MiB live, 56.3MiB allocated; 19ms collecting garbage

Counts

19 → 76

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
#s(approx cosTheta_O cosTheta_O)
cosTheta_O
#s(approx sinTheta_O sinTheta_O)
#s(approx v v)
(*.f32 sinTheta_i sinTheta_O)

Outputs
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 1))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (+ 1 (* sinTheta_O sinTheta_i))))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1/2 v) #s(hole binary32 (/ 1/2 v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	sinTheta_i	@	inf	((exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 v 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 cosTheta_O cosTheta_O sinTheta_O v (* sinTheta_i sinTheta_O))
10.0ms	v	@	-inf	((exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 v 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 cosTheta_O cosTheta_O sinTheta_O v (* sinTheta_i sinTheta_O))
9.0ms	v	@	inf	((exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 v 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 cosTheta_O cosTheta_O sinTheta_O v (* sinTheta_i sinTheta_O))
8.0ms	v	@	0	((exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 v 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 cosTheta_O cosTheta_O sinTheta_O v (* sinTheta_i sinTheta_O))
4.0ms	sinTheta_O	@	0	((exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (+ (log (/ 1/2 v)) 6931/10000) (log (/ 1/2 v)) (/ 1/2 v) 1/2 v 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v) (+ (* sinTheta_O sinTheta_i) 1) sinTheta_O sinTheta_i 1 cosTheta_O cosTheta_O sinTheta_O v (* sinTheta_i sinTheta_O))

rewrite1.1s (15%)

Memory

22.8MiB live, 590.6MiB allocated; 123ms collecting garbage

Counts

95 → 89

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
#s(approx cosTheta_O cosTheta_O)
cosTheta_O
#s(approx sinTheta_O sinTheta_O)
#s(approx v v)
(*.f32 sinTheta_i sinTheta_O)
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 1))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (+ 1 (* sinTheta_O sinTheta_i))))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (log (/ 1/2 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (log (/ 1/2 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* sinTheta_O sinTheta_i) 1) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1/2 v) #s(hole binary32 (/ 1/2 v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ (+ (* sinTheta_O sinTheta_i) 1) v) #s(hole binary32 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) #s(hole binary32 (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_O sinTheta_i) 1) v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
#s(approx (+ (log (/ 1/2 v)) 6931/10000) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Outputs
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
#s(approx cosTheta_O cosTheta_O)
cosTheta_O
#s(approx sinTheta_O sinTheta_O)
#s(approx v v)
(*.f32 sinTheta_i sinTheta_O)
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (*.f32 v v))) cosTheta_i (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_O) (.f32 cosTheta_i (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 (.f32 v v) v)) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))) cosTheta_i (/.f32 (*.f32 cosTheta_O (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_i (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O)) (*.f32 v v))) cosTheta_O (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_i) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) (.f32 (.f32 v v) v)) #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (.f32 v v))) cosTheta_O (/.f32 (*.f32 cosTheta_i (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)) cosTheta_O (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_O) (.f32 sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_i (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_O) (.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_i (neg.f32 (/.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1 binary32) v)))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) #s(literal 1 binary32))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
#s(approx sinTheta_i sinTheta_i)
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i))) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) sinTheta_i))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O) sinTheta_i))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v)))))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)))))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 v v)) (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_i) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_O (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (log.f32 (+.f32 v v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 v v)) (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_i) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_O (neg.f32 (/.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) sinTheta_O))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v)))))
#s(approx (/ (+ 1 (* sinTheta_i sinTheta_O)) v) (.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O)))))
#s(approx (+ 1 (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (/.f32 (-.f32 (.f32 v (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (log (/ 1/2 v)) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ 1/2 v) (/.f32 #s(literal 1/2 binary32) v))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v)))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (+.f32 (fma.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v))))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v)))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (+.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 (.f32 v v) v))) (fma.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v))))) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)))))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (neg.f32 (neg.f32 (log.f32 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) v))) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (fma.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (neg.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))) v)) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (+ (+ 6931/10000 (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v)) (neg (log (* 2 v))))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) v)) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))) v)) (neg.f32 (.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))) v)) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))) v))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))
#s(approx (log (/ 1/2 v)) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))

eval7.0ms (0.1%)

Memory: 17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 743 to 396 computations (77.3% saved)

prune5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	1	4	5
Done	0	0	0
Total	84	10	94

Accuracy

99.8%

Counts

94 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(*.f32 sinTheta_i sinTheta_O)
▶	46.3%	(*.f32 cosTheta_i cosTheta_O)
▶	36.3%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
	7.6%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
▶	99.4%	#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
✓	11.0%	#s(approx v v)
▶	9.9%	#s(approx sinTheta_i sinTheta_i)
✓	11.3%	#s(approx sinTheta_O sinTheta_O)
▶	10.6%	#s(approx cosTheta_i cosTheta_i)
✓	10.7%	#s(approx cosTheta_O cosTheta_O)

Compiler

Compiled 135 to 176 computations (-30.4% saved)

series74.0ms (1%)

Memory

4.2MiB live, 50.2MiB allocated; 4ms collecting garbage

Counts

22 → 62

Calls

Call 1

Inputs
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx cosTheta_i cosTheta_i)
cosTheta_i
#s(approx sinTheta_i sinTheta_i)
sinTheta_i
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O

Outputs
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) 1) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1/2 v) #s(hole binary32 (/ 1/2 v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 3))) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2))))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	v	@	inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))) 6931/10000 (log (/ 1/2 v)) (/ 1/2 v) 1/2 v (/ 1 v) 1 cosTheta_i cosTheta_i sinTheta_i sinTheta_i (* cosTheta_i cosTheta_O) cosTheta_O (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_O)
17.0ms	v	@	-inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))) 6931/10000 (log (/ 1/2 v)) (/ 1/2 v) 1/2 v (/ 1 v) 1 cosTheta_i cosTheta_i sinTheta_i sinTheta_i (* cosTheta_i cosTheta_O) cosTheta_O (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_O)
8.0ms	v	@	0	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))) 6931/10000 (log (/ 1/2 v)) (/ 1/2 v) 1/2 v (/ 1 v) 1 cosTheta_i cosTheta_i sinTheta_i sinTheta_i (* cosTheta_i cosTheta_O) cosTheta_O (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_O)
4.0ms	cosTheta_O	@	inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))) 6931/10000 (log (/ 1/2 v)) (/ 1/2 v) 1/2 v (/ 1 v) 1 cosTheta_i cosTheta_i sinTheta_i sinTheta_i (* cosTheta_i cosTheta_O) cosTheta_O (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_O)
1.0ms	sinTheta_i	@	-inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))) 6931/10000 (log (/ 1/2 v)) (/ 1/2 v) 1/2 v (/ 1 v) 1 cosTheta_i cosTheta_i sinTheta_i sinTheta_i (* cosTheta_i cosTheta_O) cosTheta_O (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg (/ (* sinTheta_i sinTheta_O) v)) (/ (* sinTheta_i sinTheta_O) v) (* sinTheta_i sinTheta_O) sinTheta_O)

rewrite765.0ms (10.6%)

Memory

-17.2MiB live, 552.4MiB allocated; 57ms collecting garbage

Counts

84 → 78

Calls

Call 1

Inputs
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx cosTheta_i cosTheta_i)
cosTheta_i
#s(approx sinTheta_i sinTheta_i)
sinTheta_i
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) 1) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (* -1 (log v)))))
#s(approx (/ 1/2 v) #s(hole binary32 (/ 1/2 v)))
#s(approx v #s(hole binary32 v))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 3))) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2))))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log 1/2) (log (/ 1 v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) #s(hole binary32 (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) #s(hole binary32 (- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) #s(hole binary32 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
#s(approx (log (/ 1/2 v)) #s(hole binary32 (+ (log -1/2) (log (/ -1 v)))))

Outputs
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx cosTheta_i cosTheta_i)
cosTheta_i
#s(approx sinTheta_i sinTheta_i)
sinTheta_i
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
#s(approx (* cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_i))) (/.f32 cosTheta_O v)) cosTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_i)) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx cosTheta_O cosTheta_O)
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O))) (/.f32 cosTheta_i v)) cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (neg.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_O) (.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_i (neg.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) v))) sinTheta_i (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (+.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))) sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) sinTheta_i)) (/.f32 sinTheta_O v)) sinTheta_i)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 v v)) (neg.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v))) sinTheta_O (neg.f32 (/.f32 (*.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) v))) sinTheta_O (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))
#s(approx sinTheta_O sinTheta_O)
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))) sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (.f32 (+.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (/.f32 #s(literal -1 binary32) v))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (/.f32 (-.f32 (.f32 v (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32)) v))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (log (/ 1/2 v)) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ 1/2 v) (/.f32 #s(literal 1/2 binary32) v))
#s(approx v v)
#s(approx (/ 1 v) (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))) (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 #s(literal -1/6 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) v))) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v)) (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))) (fma.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))))) (.f32 (.f32 v v) v)) #s(literal -1/6 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))) (.f32 v v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (fma.f32 (.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal -1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))) v))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))
#s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
#s(approx (+ 6931/10000 (log (/ 1/2 v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))))
#s(approx (log (/ 1/2 v)) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))))

eval5.0ms (0.1%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 014 to 268 computations (73.6% saved)

prune4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	70	10	80

Accuracy

99.8%

Counts

80 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(*.f32 sinTheta_i sinTheta_O)
✓	46.3%	(*.f32 cosTheta_i cosTheta_O)
✓	36.3%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
▶	7.6%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
✓	99.4%	#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
✓	11.0%	#s(approx v v)
✓	9.9%	#s(approx sinTheta_i sinTheta_i)
✓	11.3%	#s(approx sinTheta_O sinTheta_O)
✓	10.6%	#s(approx cosTheta_i cosTheta_i)
✓	10.7%	#s(approx cosTheta_O cosTheta_O)

Compiler

Compiled 72 to 100 computations (-38.9% saved)

series32.0ms (0.4%)

Memory

9.3MiB live, 54.6MiB allocated; 3ms collecting garbage

Counts

13 → 61

Calls

Call 1

Inputs
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
(neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)
(fma.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v)))
sinTheta_O
(/.f32 sinTheta_i (*.f32 v cosTheta_O))
sinTheta_i
(*.f32 v cosTheta_O)
v
cosTheta_O
(neg.f32 (/.f32 cosTheta_i v))
(/.f32 cosTheta_i v)
cosTheta_i

Outputs
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
#s(approx (neg (/ cosTheta_i v)) #s(hole binary32 (* -1 (/ cosTheta_i v))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* cosTheta_i (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* -1 (/ cosTheta_O v))))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* -1 (/ cosTheta_i v))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* cosTheta_i (- (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))) (/ 1 v)))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_i (- (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ cosTheta_O v))))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (/ 1 v))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))
#s(approx (/ sinTheta_i (* v cosTheta_O)) #s(hole binary32 (/ sinTheta_i (* cosTheta_O v))))
#s(approx (* v cosTheta_O) #s(hole binary32 (* cosTheta_O v)))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (- (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ cosTheta_i v))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_O (- (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ cosTheta_i v))))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* cosTheta_O cosTheta_i) v)))))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ sinTheta_O (* cosTheta_O v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* cosTheta_O v))) (/ cosTheta_i (* sinTheta_i v)))))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ sinTheta_i (* cosTheta_O v))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i (* cosTheta_O v))) (/ cosTheta_i (* sinTheta_O v)))))))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) #s(hole binary32 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (* -1 (/ (* cosTheta_O (- (/ (* sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) v))))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (/ (* cosTheta_O (- (/ (* sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) v)))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (/ (- (/ (* sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i) v)))
#s(approx v #s(hole binary32 v))
#s(approx (neg (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O)) #s(hole binary32 (/ (* cosTheta_O (- (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (* -1 cosTheta_i))) v)))
#s(approx (* (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) cosTheta_O) #s(hole binary32 (* -1 (/ (* cosTheta_O (- (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (* -1 cosTheta_i))) v))))
#s(approx (+ (* sinTheta_O (/ sinTheta_i (* v cosTheta_O))) (neg (/ cosTheta_i v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (* -1 cosTheta_i)) v))))

Calls

15 calls:

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

rewrite1.2s (16.9%)

Memory

-28.0MiB live, 954.3MiB allocated; 157ms collecting garbage

Counts

74 → 59

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 485 to 137 computations (71.8% saved)

prune8.0ms (0.1%)

Memory

-42.9MiB live, 9.0MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	9	9
Total	52	12	64

Accuracy

99.8%

Counts

64 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f32 sinTheta_i (*.f32 v cosTheta_O))
	49.7%	(*.f32 v cosTheta_O)
✓	48.6%	(*.f32 sinTheta_i sinTheta_O)
✓	46.3%	(*.f32 cosTheta_i cosTheta_O)
✓	36.3%	#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
	10.0%	#s(approx (* cosTheta_O (neg (/ (+ (neg cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) v))) (.f32 (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i) (neg.f32 v)) cosTheta_O))
✓	99.4%	#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
✓	11.0%	#s(approx v v)
✓	9.9%	#s(approx sinTheta_i sinTheta_i)
✓	11.3%	#s(approx sinTheta_O sinTheta_O)
✓	10.6%	#s(approx cosTheta_i cosTheta_i)
✓	10.7%	#s(approx cosTheta_O cosTheta_O)

Compiler

Compiled 188 to 200 computations (-6.4% saved)

regimes41.0ms (0.6%)

Memory

13.3MiB live, 59.3MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx cosTheta_O cosTheta_O)
#s(approx cosTheta_i cosTheta_i)
#s(approx sinTheta_O sinTheta_O)
#s(approx sinTheta_i sinTheta_i)
#s(approx v v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 v cosTheta_O)
(/.f32 sinTheta_i (*.f32 v cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (* cosTheta_O (neg (/ (+ (neg cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) v))) (.f32 (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i) (neg.f32 v)) cosTheta_O))
#s(approx (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (neg.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (+ (+ (/ (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))) v) 6931/10000) (neg (log (* 2 v))))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Outputs

#s(approx (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ (+ 1 (* sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))

Calls

9 calls:

6.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	v
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.4%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.4%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.4%	1	`cosTheta_i`
99.4%	1	`cosTheta_O`
99.4%	1	`sinTheta_i`
99.4%	1	`sinTheta_O`
99.4%	1	`v`

Compiler

Compiled 54 to 78 computations (-44.4% saved)

regimes34.0ms (0.5%)

Memory

7.0MiB live, 53.8MiB allocated; 1ms collecting garbage

Counts

12 → 3

Calls

Call 1

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

Outputs
(*.f32 v cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 v cosTheta_O)

Calls

9 calls:

4.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms	v
4.0ms	sinTheta_O
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
67.8%	3	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	3	`(*.f32 cosTheta_i cosTheta_O)`
60.0%	2	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
49.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
58.8%	2	`cosTheta_i`
57.6%	2	`cosTheta_O`
58.4%	2	`sinTheta_i`
61.6%	3	`sinTheta_O`
60.3%	2	`v`

Compiler

Compiled 54 to 78 computations (-44.4% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx cosTheta_O cosTheta_O)
#s(approx cosTheta_i cosTheta_i)
#s(approx sinTheta_O sinTheta_O)
#s(approx sinTheta_i sinTheta_i)
#s(approx v v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)

Outputs
(*.f32 sinTheta_i sinTheta_O)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 sinTheta_i sinTheta_O)

Calls

2 calls:

2.0ms	(*.f32 sinTheta_i sinTheta_O)
2.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
65.2%	3	`(*.f32 cosTheta_i cosTheta_O)`
65.0%	3	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 6 to 12 computations (-100% saved)

regimes40.0ms (0.5%)

Memory

17.3MiB live, 60.0MiB allocated; 5ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx cosTheta_O cosTheta_O)
#s(approx cosTheta_i cosTheta_i)
#s(approx sinTheta_O sinTheta_O)
#s(approx sinTheta_i sinTheta_i)
#s(approx v v)
(*.f32 cosTheta_i cosTheta_O)

Outputs
(*.f32 cosTheta_i cosTheta_O)

Calls

9 calls:

8.0ms	v
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	sinTheta_O
4.0ms	sinTheta_i
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
46.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
46.3%	1	`cosTheta_O`
46.3%	1	`sinTheta_i`
46.3%	1	`sinTheta_O`
46.3%	1	`cosTheta_i`
46.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
46.3%	1	`v`
46.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
46.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 54 to 78 computations (-44.4% saved)

regimes48.0ms (0.7%)

Memory

-0.1MiB live, 45.4MiB allocated; 20ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx cosTheta_O cosTheta_O)
#s(approx cosTheta_i cosTheta_i)
#s(approx sinTheta_O sinTheta_O)
#s(approx sinTheta_i sinTheta_i)
#s(approx v v)

Outputs
#s(approx sinTheta_O sinTheta_O)

Calls

9 calls:

21.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	v

Results

Accuracy	Segments	Branch
11.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
11.3%	1	`sinTheta_O`
11.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
11.3%	1	`sinTheta_i`
11.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
11.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
11.3%	1	`cosTheta_O`
11.3%	1	`v`
11.3%	1	`cosTheta_i`

Compiler

Compiled 54 to 78 computations (-44.4% saved)

regimes34.0ms (0.5%)

Memory

6.5MiB live, 43.9MiB allocated; 16ms collecting garbage

Accuracy

Total -0.8b remaining (-2.6%)

Threshold costs -0.8b (-2.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx cosTheta_O cosTheta_O)
#s(approx cosTheta_i cosTheta_i)

Outputs
#s(approx cosTheta_O cosTheta_O)

Calls

9 calls:

16.0ms	(*.f32 cosTheta_i cosTheta_O)
2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	cosTheta_i
2.0ms	sinTheta_O
2.0ms	v

Results

Accuracy	Segments	Branch
10.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
10.7%	1	`v`
10.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
10.7%	1	`cosTheta_i`
10.7%	1	`cosTheta_O`
10.7%	1	`sinTheta_O`
10.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
10.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
10.7%	1	`sinTheta_i`

Compiler

Compiled 54 to 78 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.3569840169943423e-42	1.742234380695045e-41
0.0ms	-6.22414738899154e-41	-1.4977077986703645e-41

Compiler

Compiled 28 to 29 computations (-3.6% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.764414778704378e-44	2.536350220427919e-43
0.0ms	-2.2977819594735474e-39	-6.418647615839825e-40

Compiler

Compiled 28 to 29 computations (-3.6% saved)

derivations2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 45 to 43 computations (4.4% saved)

preprocess103.0ms (1.4%)

Memory: -13.9MiB live, 134.7MiB allocated; 54ms collecting garbage
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 303 to 368 computations (-21.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze309.0ms (4.3%)

sample2.0s (28%)

preprocess55.0ms (0.8%)

series132.0ms (1.8%)

rewrite1.1s (15.3%)

eval11.0ms (0.1%)

prune8.0ms (0.1%)

series70.0ms (1%)

rewrite1.1s (15%)

eval7.0ms (0.1%)

prune5.0ms (0.1%)

series74.0ms (1%)

rewrite765.0ms (10.6%)

eval5.0ms (0.1%)

prune4.0ms (0.1%)

series32.0ms (0.4%)

rewrite1.2s (16.9%)

eval3.0ms (0%)

prune8.0ms (0.1%)

regimes41.0ms (0.6%)

regimes34.0ms (0.5%)

regimes5.0ms (0.1%)

regimes40.0ms (0.5%)

regimes48.0ms (0.7%)

regimes34.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

derivations2.0ms (0%)

preprocess103.0ms (1.4%)

end0.0ms (0%)

Profiling