Metrics for HairBSDF, Mp, lower

analyze385.0ms (2.8%)

Memory

9.8MiB live, 840.6MiB allocated

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)

sample2.5s (18.4%)

Memory

-67.0MiB live, 3 604.3MiB allocated

Samples

1.9s	8 256×	0	valid
19.0ms	106×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 331.0ms (23.7% of total)

ival-div: 250.0ms (17.9% of total)

ival-<=: 229.0ms (16.4% of total)

ival-mult: 167.0ms (12% of total)

ival-log: 120.0ms (8.6% of total)

ival-add: 79.0ms (5.7% of total)

ival-sub: 78.0ms (5.6% of total)

ival-exp: 68.0ms (4.9% of total)

ival-and: 54.0ms (3.9% of total)

exact: 16.0ms (1.1% of total)

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

Bogosity

preprocess348.0ms (2.5%)

Memory

-16.9MiB live, 496.1MiB allocated

Algorithm

2×	egg-herbie

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	504
1	473	469
2	1379	462
3	5000	462
0	21	23
1	50	22
2	137	22
3	456	22
4	1702	22
5	5011	22
0	8123	19

Stop Event

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

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

Outputs

(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

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

Call 2

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))

Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ -1/2 v))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_O (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_i (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_O (/ sinTheta_O v)) (+ (* cosTheta_i (/ sinTheta_i v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(* (exp (+ (- (* cosTheta_O (/ v cosTheta_i)) (* sinTheta_i (/ sinTheta_O cosTheta_i))) (+ 6931/10000 (/ -1 cosTheta_i)))) (/ 1/2 cosTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_i (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_O (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (+ 6931/10000 (* cosTheta_i (/ sinTheta_O v))) (- (/ -1 v) (* cosTheta_O (/ sinTheta_i v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (exp (+ (* cosTheta_i (/ v cosTheta_O)) (+ (- (/ -1 cosTheta_O) (* sinTheta_i (/ sinTheta_O cosTheta_O))) 6931/10000))) (/ 1/2 cosTheta_O))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(* (exp (- (* cosTheta_O (/ cosTheta_i sinTheta_i)) (+ (* v (/ sinTheta_O sinTheta_i)) (+ (/ 1 sinTheta_i) -6931/10000)))) (/ 1/2 sinTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
(* (exp (+ (- (* cosTheta_O (/ cosTheta_i sinTheta_O)) (* v (/ sinTheta_i sinTheta_O))) (+ 6931/10000 (/ -1 sinTheta_O)))) (/ 1/2 sinTheta_O))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain258.0ms (1.9%)

Memory

26.3MiB live, 495.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	3	(-5.2284034723816836e-20 -1.513684663301035e-32 3.2756783921787233e-22 0.00021385554282460362 5.971162977402855e-7)	39	(2.438188852625111e-25 1.908515182499358e-19 -9.67123924056068e-6 1.1082338064976804e-24 0.00011388995335437357)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
84	5	(-1.0726324035204016e-5 3.89580819755133e-23 8.260692282253333e-39 2.134067678127849e-8 0.016667233780026436)	26	(-4.912836895970188e-22 1.2175471511000069e-6 1.4768960614899146e-33 6.321132853259748e-13 9.41376651098782e-34)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	5	(-1.0636341611182509e-16 4.786914026847577e-38 5.20864104725063e-30 7.709962872056669e-27 0.002847120864316821)	1	(2.4326645298861083e-12 3.505241452997354e-12 3.441771779790493e-25 1.4868876452712195e-21 0.014292830601334572)	`(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)))))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.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))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.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))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	13	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	88
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	10	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	73
`exp.f32`	`(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)))))`	sensitivity	5	3

Confusion

	Predicted +	Predicted -
+	1	0
-	27	228

Precision

0.03571428571428571

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	27	1	227

Precision?

0.034482758620689655

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 14.0ms (22.7% of total)

ival-mult: 13.0ms (21.1% of total)

ival-exp: 9.0ms (14.6% of total)

const: 8.0ms (13% of total)

ival-log: 7.0ms (11.4% of total)

ival-add: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(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

▶

99.8%

(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)))))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify396.0ms (2.9%)

Memory

-15.9MiB live, 392.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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))
✓	cost-diff	0	(+.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))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	3200	(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)))))

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	50	124
2	137	124
3	456	124
4	1702	124
5	5011	124
0	8123	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(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

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

localize94.0ms (0.7%)

Memory

1.8MiB live, 78.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	accuracy	99.7%	(+.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))))
✓	accuracy	79.5%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	77.8%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

73.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 24.0ms (56.4% of total)

ival-mult: 5.0ms (11.7% of total)

const: 4.0ms (9.4% of total)

ival-log: 3.0ms (7% of total)

ival-exp: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

ival-sub: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.5%)

Memory

22.6MiB live, 61.0MiB allocated

Counts

7 → 324

Calls

Call 1

Inputs
#<alt (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))>
#<alt (/ 1 (* 2 v))>
#<alt (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>
#<alt (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))>

Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (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))>
#<alt (+ (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))))>
#<alt (+ (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))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (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))>
#<alt (+ (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))))>
#<alt (+ (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))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (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))>
#<alt (+ (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)))>
#<alt (+ (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))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (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)))>
#<alt (+ (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))))))>
#<alt (+ (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))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (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)))>
#<alt (+ (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))))))>
#<alt (+ (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))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>

Calls

81 calls:

Time	Variable		Point	Expression
20.0ms	cosTheta_O	@	inf	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
8.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
6.0ms	v	@	-inf	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
3.0ms	v	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
2.0ms	v	@	inf	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite632.0ms (4.6%)

Memory

20.1MiB live, 682.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`accelerator-lowering-fma.f32`
9 370×	`accelerator-lowering-fma.f64`
4 860×	`/-lowering-/.f32`
4 860×	`/-lowering-/.f64`
3 374×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	134	71
2	1494	71
0	8235	71

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 646

Calls

Call 1

Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(/ 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)
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))

Outputs
(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v #s(literal -2 binary32))))
(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))))
(/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal -2 binary32))))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 0 binary32) (*.f32 v #s(literal -2 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v #s(literal -2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 v))
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (*.f32 v #s(literal -2 binary32)))))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) v)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(+.f32 #s(literal 0 binary32) (neg.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v))
(+.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))) (neg.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
(+.f32 (+.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (-.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1 binary32) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(fma.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i cosTheta_O) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(fma.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(fma.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))))
(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
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(/.f32 (-.f32 (pow.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 v (.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 (.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))))) (+.f32 (.f32 (/.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 v (.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (/.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 v (.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (.f32 (.f32 (.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 v (.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))))
(.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
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(.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (-.f32 (/.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v)))
(.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v) v) (/.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (/.f32 sinTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (.f32 v (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) (.f32 v (neg.f32 v))))
(.f32 (-.f32 v (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) v)))
(.f32 (-.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(.f32 (-.f32 (.f32 #s(literal 1 binary32) (neg.f32 v)) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))))
(.f32 (-.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 v) v)))
(.f32 (-.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_O (/.f32 sinTheta_i v))) (.f32 (neg.f32 v) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(.f32 (-.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 sinTheta_O (neg.f32 sinTheta_i)))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
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(.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))))
(.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))))
(.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 v (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 #s(literal 1 binary32) v))

simplify694.0ms (5%)

Memory

-42.2MiB live, 743.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 000×	`accelerator-lowering-fma.f32`
10 000×	`accelerator-lowering-fma.f64`
6 456×	`-lowering-.f32`
6 456×	`-lowering-.f64`
3 778×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	5434
1	1139	5212
2	4020	4878
0	8102	4669

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (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))
(+ (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))))
(+ (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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (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))
(+ (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))))
(+ (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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (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))
(+ (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)))
(+ (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))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (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)))
(+ (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)))
(+ (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)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (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)))
(+ (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))))))
(+ (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))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* 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)))))
(* 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)))))
(* 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)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* 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)))))
(* 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)))))
(* 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)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* 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))))
(* 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))))
(* 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))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* 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))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))

Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+ (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))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_O cosTheta_i)) v))
(+ (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))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_i (+.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) v) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_O v)))))
(+ (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))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_i (+.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_O v)) (.f32 cosTheta_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))))) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(+ (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))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_O cosTheta_i)) v))
(+ (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))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_O (+.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_i v)) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))))
(+ (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))))
(+.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 cosTheta_O (+.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_i v)) (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 v (.f32 v v))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 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))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_i) (/.f32 sinTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) sinTheta_O) (/.f32 sinTheta_i v)))

eval147.0ms (1.1%)

Memory: -16.3MiB live, 229.7MiB allocated
Compiler: Compiled 35 125 to 3 302 computations (90.6% saved)

prune123.0ms (0.9%)

Memory

18.7MiB live, 255.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	962	8	970
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	963	8	971

Accuracy

99.8%

Counts

971 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	4.6%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
▶	99.8%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
	98.1%	(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
	12.4%	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
▶	11.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))

Compiler

Compiled 282 to 220 computations (22% saved)

simplify324.0ms (2.4%)

Memory

-5.6MiB live, 344.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	3200	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
✓	cost-diff	64	(-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	cost-diff	0	(log.f32 (/.f32 v #s(literal 1/2 binary32)))
✓	cost-diff	0	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓	cost-diff	3200	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))

Rules

8 022×	`accelerator-lowering-fma.f32`
8 022×	`accelerator-lowering-fma.f64`
2 640×	`-lowering-.f32`
2 640×	`-lowering-.f64`
1 806×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	282
1	93	277
2	207	274
3	543	266
4	1460	266
5	4000	266
6	7929	266
0	8136	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))))
1
(exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
(log (/ v 1/2))
(/ v 1/2)
v
1/2
(+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)
(/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v)
(+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
-1
6931/10000
(exp (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
cosTheta_i
(/ cosTheta_O v)
cosTheta_O
v
(* (/ 1 v) (* 1/2 (exp 6931/10000)))
(/ 1 v)
1
v
(* 1/2 (exp 6931/10000))
1/2
(exp 6931/10000)
6931/10000
(* (/ 1/2 v) (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ -1 v)
-1
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(* (exp 6931/10000) (/ 1/2 v))
(exp 6931/10000)
6931/10000
(/ 1/2 v)
1/2
v
(exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1

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

localize151.0ms (1.1%)

Memory

14.8MiB live, 252.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
✓	accuracy	100.0%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
✓	accuracy	99.8%	(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
✓	accuracy	99.0%	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	accuracy	77.8%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) v)
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.0%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	100.0%	(/.f32 cosTheta_O v)
✓	accuracy	99.8%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.8%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.8%	(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
✓	accuracy	99.7%	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))

Samples

79.0ms

256×

valid

Compiler

Compiled 283 to 43 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 15.0ms (26.8% of total)

ival-mult: 13.0ms (23.3% of total)

ival-exp: 10.0ms (17.9% of total)

ival-add: 7.0ms (12.5% of total)

const: 4.0ms (7.2% of total)

ival-sub: 3.0ms (5.4% of total)

ival-log: 3.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series169.0ms (1.2%)

Memory

7.3MiB live, 328.1MiB allocated

Counts

23 → 732

Calls

Call 1

Inputs
#<alt (exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)))>
#<alt (/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))))>
#<alt (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))>
#<alt (log (/ v 1/2))>
#<alt (exp (* cosTheta_i (/ cosTheta_O v)))>
#<alt (* cosTheta_i (/ cosTheta_O v))>
#<alt (/ cosTheta_O v)>
#<alt (* (/ 1 v) (* 1/2 (exp 6931/10000)))>
#<alt (/ 1 v)>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (exp 6931/10000)>
#<alt (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* (/ 1/2 v) (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ 1/2 v)>
#<alt (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)))>
#<alt (* (exp 6931/10000) (/ 1/2 v))>
#<alt (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)>
#<alt (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) -1) v)>

Outputs
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))>
#<alt (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))>
#<alt (+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
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#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ -1 v))>
#<alt (+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))>
#<alt (+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))>
#<alt (/ -1 v)>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))>
#<alt (/ -1 v)>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>

Calls

183 calls:

Time	Variable		Point	Expression
20.0ms	v	@	-inf	(* (/ 1/2 v) (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))))
18.0ms	sinTheta_O	@	-inf	(* (/ 1/2 v) (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))))
18.0ms	v	@	0	(log (/ v 1/2))
16.0ms	cosTheta_i	@	0	(- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
12.0ms	v	@	-inf	(log (/ v 1/2))

rewrite456.0ms (3.3%)

Memory

-10.0MiB live, 697.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 150×	`-lowering-.f32`
5 150×	`-lowering-.f64`
4 746×	`/-lowering-/.f32`
4 746×	`/-lowering-/.f64`
3 038×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	198
1	244	191
2	2005	190
0	8902	183

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 584

Calls

Call 1

Inputs
(exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)))
(/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))))
(- (log (/ v 1/2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
(log (/ v 1/2))
(exp (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
(/ cosTheta_O v)
(* (/ 1 v) (* 1/2 (exp 6931/10000)))
(/ 1 v)
(* 1/2 (exp 6931/10000))
(exp 6931/10000)
(- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ 1/2 v)
(exp (+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(* (exp 6931/10000) (/ 1/2 v))
(+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(/ (* sinTheta_O sinTheta_i) v)
(+ 6931/10000 (- (/ -1 v) (/ (* sinTheta_O sinTheta_i) v)))
(exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)

Outputs
(exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
(exp.f32 (neg.f32 (neg.f32 (-.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))))
(exp.f32 (neg.f32 (.f32 (-.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
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(/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
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(/.f32 (-.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (neg.f32 (neg.f32 v))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O))))) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 (neg.f32 v))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v))) (neg.f32 v)) (.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 v)))
(/.f32 (-.f32 (.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)))) (.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))
(.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))))))
(.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))
(exp.f32 (.f32 (log.f32 (exp.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))
(pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 (.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) v)))
(neg.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) v))
(exp.f32 (.f32 (log.f32 (/.f32 v (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) (.f32 v (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1 binary32)))) (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (.f32 v (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1 binary32)))) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v)))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) #s(literal 1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1 binary32)))) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))) v))
(/.f32 (.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (neg.f32 v)))
(/.f32 (.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v))
(/.f32 (neg.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) #s(literal 1 binary32)) v)
(/.f32 (.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1 binary32)))) (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal -1 binary32)))
(.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (neg.f32 (+.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 (/.f32 v (+.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1 binary32)))) (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)))))
(.f32 (pow.f32 (/.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32))))

simplify519.0ms (3.8%)

Memory

1.9MiB live, 1 203.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 952×	`accelerator-lowering-fma.f32`
7 952×	`accelerator-lowering-fma.f64`
7 636×	`-lowering-.f32`
7 636×	`-lowering-.f64`
5 026×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	998	12753
1	3224	12351
0	8885	11628

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 732

Calls

Call 1

Inputs
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)

Outputs
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+.f32 (+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))))) (*.f32 v v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) v) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))))) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) (+.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)))))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (.f32 v (*.f32 v v))))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (+.f32 (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) v)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))) (/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) v) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))))) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))) v)) v))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(-.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_i (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O))) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))) v))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_i (-.f32 (.f32 cosTheta_i (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32)))))) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))) (.f32 v v)))) (/.f32 (.f32 cosTheta_O (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -6931/10000 binary32))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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6931/10000
#s(literal 6931/10000 binary32)
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(*.f32 cosTheta_O cosTheta_i)
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#s(literal 6931/10000 binary32)
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6931/10000
#s(literal 6931/10000 binary32)
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_O (+.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_O (+.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 cosTheta_O (+.f32 (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
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(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_i (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 v v)) (/.f32 (*.f32 cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_i (+.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v))) v) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 v v)))) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v v))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (.f32 v v)) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (.f32 v v))) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) v) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) v) (.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) v))) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (/.f32 cosTheta_O v))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)

eval126.0ms (0.9%)

Memory: 42.7MiB live, 347.8MiB allocated
Compiler: Compiled 35 702 to 3 555 computations (90% saved)

prune191.0ms (1.4%)

Memory

-22.4MiB live, 382.7MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	1 331	16	1 347
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	1 337	18	1 355

Accuracy

99.9%

Counts

1 355 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
	45.8%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
	99.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
	12.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	11.7%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	6.2%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.8%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	11.7%	(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
▶	12.4%	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	11.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	11.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
▶	6.4%	#s(literal 1 binary32)

Compiler

Compiled 891 to 516 computations (42.1% saved)

simplify318.0ms (2.3%)

Memory

-3.9MiB live, 602.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓	cost-diff	3200	(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))
✓	cost-diff	0	(/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
✓	cost-diff	0	(*.f32 sinTheta_O sinTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(log.f32 (/.f32 v #s(literal 1/2 binary32)))
✓	cost-diff	0	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓	cost-diff	3200	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))

Rules

7 236×	`accelerator-lowering-fma.f32`
7 236×	`accelerator-lowering-fma.f64`
2 736×	`-lowering-.f32`
2 736×	`-lowering-.f64`
2 104×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	319
1	96	315
2	222	309
3	589	309
4	1662	309
5	4649	309
6	7844	309
0	8043	290

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))))
1
(exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)))
(- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))
(log (/ v 1/2))
(/ v 1/2)
v
1/2
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1
6931/10000
1
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
0
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ 1 (/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))))
1
(/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))))
v
(* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))
1/2
(exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))
(+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))
6931/10000
(/ (- -1 (* sinTheta_i sinTheta_O)) v)
(- -1 (* sinTheta_i sinTheta_O))
-1
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 (/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
1
(/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
v
(exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(log 1/2)
1/2
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000

Outputs
(/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))))
1
#s(literal 1 binary32)
(exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)))
(/.f32 (exp.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))) (/.f32 #s(literal 1/2 binary32) v))
(- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))
(+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (-.f32 #s(literal -6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))
(log (/ v 1/2))
(log.f32 (/.f32 v #s(literal 1/2 binary32)))
(/ v 1/2)
(/.f32 v #s(literal 1/2 binary32))
v
1/2
#s(literal 1/2 binary32)
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)
(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(+ (* cosTheta_O cosTheta_i) -1)
(+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
6931/10000
#s(literal 6931/10000 binary32)
1
#s(literal 1 binary32)
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
0
#s(literal 0 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ 1 (/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
1
#s(literal 1 binary32)
(/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
v
(* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -6931/10000 binary32))))
1/2
#s(literal 1/2 binary32)
(exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (- -1 (* sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(- -1 (* sinTheta_i sinTheta_O))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
-1
#s(literal -1 binary32)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(/ 1 (/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))))
1
#s(literal 1 binary32)
(/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))))
v
(exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))) #s(literal 2 binary32))
(+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)))
(log 1/2)
(log.f32 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
6931/10000
#s(literal 6931/10000 binary32)

localize134.0ms (1%)

Memory

-11.2MiB live, 342.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓	accuracy	99.9%	(+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓	accuracy	99.8%	(exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
✓	accuracy	99.8%	(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
✓	accuracy	100.0%	(/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
✓	accuracy	100.0%	(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓	accuracy	100.0%	(*.f32 sinTheta_O sinTheta_i)
✓	accuracy	100.0%	(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓	accuracy	98.0%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓	accuracy	99.8%	(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
✓	accuracy	99.7%	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))

Samples

56.0ms	195×	0	exit
18.0ms	61×	0	valid

Compiler

Compiled 324 to 43 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 13.0ms (25.4% of total)

ival-exp: 8.0ms (15.7% of total)

ival-mult: 8.0ms (15.7% of total)

ival-add: 7.0ms (13.7% of total)

ival-log: 6.0ms (11.7% of total)

ival-sub: 4.0ms (7.8% of total)

const: 4.0ms (7.8% of total)

exact: 1.0ms (2% of total)

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

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

series95.0ms (0.7%)

Memory

19.9MiB live, 225.0MiB allocated

Counts

19 → 768

Calls

Call 1

Inputs
#<alt (exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)))>
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Outputs
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#<alt (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>

Calls

192 calls:

Time	Variable		Point	Expression
5.0ms	v	@	-inf	(/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
2.0ms	v	@	-inf	(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
2.0ms	sinTheta_O	@	0	(/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
2.0ms	sinTheta_i	@	-inf	(* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))
2.0ms	sinTheta_O	@	inf	(/ 1 (/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))

rewrite604.0ms (4.4%)

Memory

23.5MiB live, 769.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 712×	`-lowering-.f32`
4 712×	`-lowering-.f64`
4 662×	`/-lowering-/.f32`
4 662×	`/-lowering-/.f64`
2 554×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	226
1	281	216
2	2375	216
0	8962	207

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 577

Calls

Call 1

Inputs
(exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)))
(/ 1 (exp (- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))))
(- (log (/ v 1/2)) (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000))
(log (/ v 1/2))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ 1 (/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))))
(/ v (* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))))
(* 1/2 (exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))))
(exp (+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v)))
(exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/ 1 (/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(/ v (exp (+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
(+ (log 1/2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) 6931/10000)
(+ 6931/10000 (/ (- -1 (* sinTheta_i sinTheta_O)) v))
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)

Outputs
(exp.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)))
(exp.f32 (neg.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)))))
(exp.f32 (neg.f32 (.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32))
(/.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (neg.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (neg.f32 (.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))) (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32)))) (neg.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))
(.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v))) (exp.f32 #s(literal -6931/10000 binary32)))
(.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 v #s(literal 1/2 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32))))
(exp.f32 (.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32)))))) #s(literal -1 binary32))
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(.f32 (+.f32 (/.f32 (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 v (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)))) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))

simplify759.0ms (5.5%)

Memory

-5.2MiB live, 1 356.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 990×	`-lowering-.f32`
7 990×	`-lowering-.f64`
6 830×	`accelerator-lowering-fma.f32`
6 830×	`accelerator-lowering-fma.f64`
4 862×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1288	16733
1	4213	16256
0	9199	15317

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

Inputs
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1))) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* (- 1 (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (pow v 2))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* (- 1 (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (- 1 (* cosTheta_O cosTheta_i)))) (+ (* 1/6 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/2 (* (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))) (pow v 3))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (* 1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* (- 1 (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (pow v 2)))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
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(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
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1
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1
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(* -1 (* v (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp (+ 6931/10000 (log 1/2)))))) (+ (* 1/2 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp (+ 6931/10000 (log 1/2)))) (/ (* sinTheta_O sinTheta_i) (exp (+ 6931/10000 (log 1/2))))) (/ (* cosTheta_O cosTheta_i) (exp (+ 6931/10000 (log 1/2)))))) v)) (/ (* (+ (* -1 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (+ 6931/10000 (log 1/2)))) (/ (* sinTheta_O sinTheta_i) (exp (+ 6931/10000 (log 1/2))))) (/ (* cosTheta_O cosTheta_i) (exp (+ 6931/10000 (log 1/2))))))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (+ 6931/10000 (log 1/2)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (+ (* -1 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (+ 6931/10000 (log 1/2)))) (/ (* sinTheta_O sinTheta_i) (exp (+ 6931/10000 (log 1/2))))) (/ (* cosTheta_O cosTheta_i) (exp (+ 6931/10000 (log 1/2))))))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (+ 6931/10000 (log 1/2))))))) v)) (+ (/ 1 (exp (+ 6931/10000 (log 1/2)))) (/ (* sinTheta_O sinTheta_i) (exp (+ 6931/10000 (log 1/2)))))) (/ (* cosTheta_O cosTheta_i) (exp (+ 6931/10000 (log 1/2))))) v)) (/ 1 (exp (+ 6931/10000 (log 1/2)))))))
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(+ (* -1 (/ (* cosTheta_O cosTheta_i) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (+ (* -1 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_O 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/6 (/ (pow cosTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (+ (* -1 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (/ (pow cosTheta_i 2) (* v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ v (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))))) (* -1 (/ sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))) (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) v))))) (+ (* -1 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_O 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))))) (* -1 (/ sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))) (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))))) (* -1 (/ sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))) (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/6 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (+ (* 1/2 (/ (pow sinTheta_i 3) (* (pow v 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) v))))) (+ (* -1 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))) (* 1/2 (/ (pow sinTheta_i 2) (* v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))))) (* -1 (/ sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))))) (/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log 1/2) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log 1/2) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log 1/2) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log 1/2) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log 1/2) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log 1/2) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log 1/2) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log 1/2) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log 1/2) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log 1/2) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log 1/2) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log 1/2) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (log 1/2)))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (log 1/2)))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (log 1/2)))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (log 1/2))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (log 1/2))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))

Outputs
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v)))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))))) (.f32 v v))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))))
(+.f32 (+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))))) (.f32 v (.f32 v v))))) (+.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))))) (*.f32 v v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1)) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (+.f32 (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v)))) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) 1))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (/.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) v))) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))))) v)) v))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (.f32 v v)) (/.f32 (.f32 cosTheta_i (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_O (-.f32 (.f32 cosTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (.f32 cosTheta_i cosTheta_i))) (.f32 v v)))) (/.f32 (.f32 cosTheta_i (exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
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(/.f32 (-.f32 (.f32 v #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_i)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_i)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (-.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_i))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (.f32 cosTheta_O (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) cosTheta_O))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_i))) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_i))) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_i))) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_i)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal -1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 v sinTheta_O))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(.f32 (+.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (.f32 v #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (.f32 v #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (.f32 v #s(literal 6931/10000 binary32)) (-.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))

eval129.0ms (0.9%)

Memory: 15.9MiB live, 363.2MiB allocated
Compiler: Compiled 38 347 to 3 660 computations (90.5% saved)

prune185.0ms (1.3%)

Memory

-33.7MiB live, 368.8MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 335	10	1 345
Fresh	4	8	12
Picked	4	1	5
Done	0	1	1
Total	1 343	20	1 363

Accuracy

99.9%

Counts

1 363 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)))
	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) v)))))))
	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
	99.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)))) v))
	12.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	11.7%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
▶	99.8%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	6.2%	(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶	6.2%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))))
▶	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.8%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	11.7%	(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	12.4%	(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
	12.4%	(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓	11.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	11.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
▶	99.8%	(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 763 to 518 computations (32.1% saved)

simplify156.0ms (1.1%)

Memory

27.4MiB live, 261.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	0	(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓	cost-diff	32	(neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	cost-diff	3200	(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	cost-diff	0	(/.f32 v cosTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)))
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	cost-diff	0	(log.f32 (/.f32 v #s(literal 1/2 binary32)))
✓	cost-diff	0	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
✓	cost-diff	3200	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))

Rules

1 712×	`accelerator-lowering-fma.f32`
1 712×	`accelerator-lowering-fma.f64`
1 696×	`-lowering-.f32`
1 696×	`-lowering-.f64`
1 566×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	182
1	72	179
2	169	173
3	458	170
4	1089	170
5	2195	170
6	4467	170
7	6190	170
8	7234	170
9	7914	170
0	8017	169

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))
1
(exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v))))
(- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))
(log (/ v 1/2))
(/ v 1/2)
v
1/2
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp (* cosTheta_i (/ 1 (/ v cosTheta_O))))
(* cosTheta_i (/ 1 (/ v cosTheta_O)))
cosTheta_i
(/ 1 (/ v cosTheta_O))
1
(/ v cosTheta_O)
v
cosTheta_O
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(exp (neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))))
(neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000)))
(+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))
(log (* 2 v))
(* 2 v)
2
v
(+ (/ 1 v) -6931/10000)
(/ 1 v)
1
-6931/10000

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

localize125.0ms (0.9%)

Memory

-25.2MiB live, 256.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f32 (*.f32 #s(literal 2 binary32) v))
✓	accuracy	99.8%	(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
✓	accuracy	99.8%	(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	accuracy	99.7%	(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	100.0%	(/.f32 v cosTheta_O)
✓	accuracy	99.8%	(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
✓	accuracy	99.4%	(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	79.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.8%	(exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.7%	(-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))

Samples

81.0ms

256×

valid

Compiler

Compiled 185 to 37 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 26.0ms (41.1% of total)

const: 10.0ms (15.8% of total)

ival-exp: 9.0ms (14.2% of total)

ival-log: 6.0ms (9.5% of total)

ival-mult: 5.0ms (7.9% of total)

ival-add: 4.0ms (6.3% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series14.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

21 → 384

Calls

Call 1

Inputs
#<alt (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v))))>
#<alt (/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))>
#<alt (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))>
#<alt (log (/ v 1/2))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ 1 (/ v cosTheta_O))>
#<alt (exp (* cosTheta_i (/ 1 (/ v cosTheta_O))))>
#<alt (* cosTheta_i (/ 1 (/ v cosTheta_O)))>
#<alt (/ v cosTheta_O)>
#<alt (* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))>
#<alt (/ 1/2 v)>
#<alt (exp (+ 6931/10000 (/ -1 v)))>
#<alt (+ 6931/10000 (/ -1 v))>
#<alt (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))))>
#<alt (neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000)))>
#<alt (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))>
#<alt (log (* 2 v))>
#<alt (/ -1 v)>
#<alt (+ (/ 1 v) -6931/10000)>

Outputs
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))>
#<alt (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))>
#<alt (- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))>
#<alt (- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))>
#<alt (- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))>
#<alt (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))>
#<alt (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
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#<alt 1>
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#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
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#<alt (/ v cosTheta_O)>
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#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
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#<alt (/ 1/2 v)>
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#<alt (exp 6931/10000)>
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#<alt (/ -1 v)>
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#<alt (/ 1 v)>
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#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ -1 v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt -6931/10000>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt -6931/10000>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))
1.0ms	v	@	0	(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
0.0ms	v	@	-inf	(exp (neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))))
0.0ms	v	@	0	(/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))
0.0ms	v	@	-inf	(/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))

rewrite451.0ms (3.3%)

Memory

8.2MiB live, 829.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 468×	`/-lowering-/.f32`
4 468×	`/-lowering-/.f64`
4 176×	`-lowering-.f32`
4 176×	`-lowering-.f64`
3 374×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	142
1	194	132
2	1449	132
0	9205	131

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 362

Calls

Call 1

Inputs
(exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v))))
(/ 1 (exp (- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))))
(- (log (/ v 1/2)) (+ 6931/10000 (/ -1 v)))
(log (/ v 1/2))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ 1 (/ v cosTheta_O))
(exp (* cosTheta_i (/ 1 (/ v cosTheta_O))))
(* cosTheta_i (/ 1 (/ v cosTheta_O)))
(/ v cosTheta_O)
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
(exp (neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))))
(neg (+ (log (* 2 v)) (+ (/ 1 v) -6931/10000)))
(+ (log (* 2 v)) (+ (/ 1 v) -6931/10000))
(log (* 2 v))
(/ -1 v)
(+ (/ 1 v) -6931/10000)

Outputs
(exp.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 v) (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (neg.f32 (log.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (*.f32 v #s(literal 1/2 binary32)))))
(/.f32 (+.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))))))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 v #s(literal 1/2 binary32)))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (neg.f32 v)) #s(literal -1 binary32)))
(pow.f32 (neg.f32 v) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal 1 binary32) (neg.f32 v))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 v))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32) #s(literal -6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal -6931/10000 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal 332956652491/1000000000000 binary32)) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v))))
(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v)) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v)) (-.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v)))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v))))
(/.f32 (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v))) (neg.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v))) (neg.f32 (-.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal -332956652491/1000000000000 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (.f32 v v))) #s(literal 332956652491/1000000000000 binary32)))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (+.f32 (/.f32 #s(literal -1 binary32) (.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v)))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))

simplify367.0ms (2.7%)

Memory

4.3MiB live, 570.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 060×	`accelerator-lowering-fma.f32`
10 060×	`accelerator-lowering-fma.f64`
4 958×	`-lowering-.f32`
4 958×	`-lowering-.f64`
1 896×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	3211
1	843	2984
2	2328	2674
3	6815	2545
0	8396	2462

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(/ 1 v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))
(+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))
(+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(/ v cosTheta_O)
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(/ -1 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (* -1 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) v)))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* -1 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) v)) (* 1/2 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow v 2)))))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* -1 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) v)) (+ (* -1/6 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow v 2))))))
(exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) v)))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1/2 (/ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) v))) v)))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1/6 (/ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) v)) (* 1/2 (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))) v))) v)))
(/ -1 v)
(/ (- (* v (- 6931/10000 (+ (log 2) (log v)))) 1) v)
(/ (- (* v (- 6931/10000 (+ (log 2) (log v)))) 1) v)
(/ (- (* v (- 6931/10000 (+ (log 2) (log v)))) 1) v)
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))))
(- 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))))
(- 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(- 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))))
(- 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))))
(- 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))))
(/ 1 v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ 1 v)
(/ (+ 1 (* -6931/10000 v)) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/ (+ 1 (* -6931/10000 v)) v)
-6931/10000
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
-6931/10000
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)

Outputs
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (*.f32 (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(-.f32 (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1/2 binary32)) v) (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(-.f32 (/.f32 v (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1/6 binary32)) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) v) v) (/.f32 #s(literal 2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v v))))
(- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) v))) v))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))
(+.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 (*.f32 (/.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) v) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/12 binary32) v))) v))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v v))))
(+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/4 binary32) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 (*.f32 (/.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) v) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/12 binary32) v))) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 v (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 v (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 v (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(+.f32 (log.f32 (neg.f32 v)) (+.f32 (log.f32 #s(literal -2 binary32)) #s(literal -6931/10000 binary32)))
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(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))

eval228.0ms (1.7%)

Memory: -8.5MiB live, 300.3MiB allocated
Compiler: Compiled 45 891 to 4 184 computations (90.9% saved)

prune374.0ms (2.7%)

Memory

20.7MiB live, 329.8MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 807	11	1 818
Fresh	11	2	13
Picked	4	1	5
Done	1	1	2
Total	1 823	15	1 838

Accuracy

99.9%

Counts

1 838 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.8%	(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
	34.3%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 v))) #s(literal 1/2 binary32)))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) v)))))))
	99.8%	(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
	99.8%	(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
	98.1%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
	6.2%	(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	98.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	98.1%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	99.8%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
✓	6.4%	#s(literal 1 binary32)

Compiler

Compiled 1 110 to 418 computations (62.3% saved)

regimes154.0ms (1.1%)

Memory

-1.9MiB live, 150.5MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 v))) #s(literal 1/2 binary32)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(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 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) #s(literal -6931/10000 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (-.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))) (-.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) v)))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))))

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

Calls

9 calls:

30.0ms	sinTheta_i
21.0ms	cosTheta_i
21.0ms	(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)))))
12.0ms	sinTheta_O
12.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	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)))))`
99.8%	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))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes83.0ms (0.6%)

Memory

8.2MiB live, 82.9MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))

Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))

Calls

7 calls:

23.0ms	cosTheta_i
18.0ms	v
8.0ms	sinTheta_O
8.0ms	sinTheta_i
8.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes59.0ms (0.4%)

Memory

29.6MiB live, 68.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))

Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 v #s(literal 1/2 binary32)))))

Calls

7 calls:

11.0ms	sinTheta_O
8.0ms	cosTheta_i
8.0ms	sinTheta_i
8.0ms	cosTheta_O
8.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes98.0ms (0.7%)

Memory

-26.7MiB live, 72.5MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i)) v)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))

Outputs
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))

Calls

7 calls:

17.0ms	sinTheta_i
7.0ms	sinTheta_O
7.0ms	cosTheta_O
7.0ms	cosTheta_i
7.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes59.0ms (0.4%)

Memory

1.5MiB live, 40.2MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_O sinTheta_i))) v))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))

Calls

5 calls:

36.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	cosTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes50.0ms (0.4%)

Memory

-30.7MiB live, 48.3MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))

Calls

5 calls:

27.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	cosTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes22.0ms (0.2%)

Memory

14.4MiB live, 52.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))

Calls

5 calls:

5.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	v
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_i`
98.1%	1	`sinTheta_O`
98.1%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes16.0ms (0.1%)

Memory

1.9MiB live, 39.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))

Calls

5 calls:

4.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	cosTheta_i
3.0ms	v
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_i`
98.1%	1	`sinTheta_O`
98.1%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes11.0ms (0.1%)

Memory

27.6MiB live, 27.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.3%	1	`cosTheta_i`
34.3%	1	`cosTheta_O`
34.3%	1	`sinTheta_i`
34.3%	1	`sinTheta_O`
34.3%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory

-20.6MiB live, 16.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.4%	1	`v`
6.4%	1	`sinTheta_i`
6.4%	1	`sinTheta_O`
6.4%	1	`cosTheta_O`
6.4%	1	`cosTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary32`
20×	`*-commutative_binary32`
16×	`sub-neg_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	83
1	52	83
2	62	83
3	76	83
4	86	83
5	91	83
6	93	83

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (11.3%)

Memory

-133.4MiB live, 1 288.3MiB allocated

Rules

10 060×	`accelerator-lowering-fma.f32`
10 060×	`accelerator-lowering-fma.f64`
10 000×	`accelerator-lowering-fma.f32`
10 000×	`accelerator-lowering-fma.f64`
9 370×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	3211
1	843	2984
2	2328	2674
3	6815	2545
0	8396	2462
0	998	12753
1	3224	12351
0	8885	11628
0	352	5434
1	1139	5212
2	4020	4878
0	8102	4669
0	33	142
1	194	132
2	1449	132
0	9205	131
0	1288	16733
1	4213	16256
0	9199	15317
0	21	78
1	134	71
2	1494	71
0	8235	71

Stop Event

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

Compiler

Compiled 549 to 429 computations (21.9% saved)

preprocess77.0ms (0.6%)

Memory

-30.5MiB live, 167.4MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 452 to 300 computations (33.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze385.0ms (2.8%)

sample2.5s (18.4%)

preprocess348.0ms (2.5%)

explain258.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify396.0ms (2.9%)

localize94.0ms (0.7%)

series66.0ms (0.5%)

rewrite632.0ms (4.6%)

simplify694.0ms (5%)

eval147.0ms (1.1%)

prune123.0ms (0.9%)

simplify324.0ms (2.4%)

localize151.0ms (1.1%)

series169.0ms (1.2%)

rewrite456.0ms (3.3%)

simplify519.0ms (3.8%)

eval126.0ms (0.9%)

prune191.0ms (1.4%)

simplify318.0ms (2.3%)

localize134.0ms (1%)

series95.0ms (0.7%)

rewrite604.0ms (4.4%)

simplify759.0ms (5.5%)

eval129.0ms (0.9%)

prune185.0ms (1.3%)

simplify156.0ms (1.1%)

localize125.0ms (0.9%)

series14.0ms (0.1%)

rewrite451.0ms (3.3%)

simplify367.0ms (2.7%)

eval228.0ms (1.7%)

prune374.0ms (2.7%)

regimes154.0ms (1.1%)

regimes83.0ms (0.6%)

regimes59.0ms (0.4%)

regimes98.0ms (0.7%)

regimes59.0ms (0.4%)

regimes50.0ms (0.4%)

regimes22.0ms (0.2%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.6s (11.3%)

preprocess77.0ms (0.6%)

end0.0ms (0%)

Profiling