Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze60.0ms (0.9%)

Memory

17.3MiB live, 91.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.6%	99.4%	0%	0%	0%	0
0%	0%	0.6%	99.4%	0%	0%	0%	1
0%	0%	0.6%	99.4%	0%	0%	0%	2
0%	0%	0.6%	99.4%	0%	0%	0%	3
0%	0%	0.6%	99.4%	0%	0%	0%	4
50%	0.3%	0.3%	99.4%	0%	0%	0%	5
50%	0.3%	0.3%	99.4%	0%	0%	0%	6
75%	0.5%	0.2%	99.4%	0%	0%	0%	7
75%	0.5%	0.2%	99.4%	0%	0%	0%	8
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	9
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	10
93.7%	0.6%	0%	99.4%	0%	0%	0%	11
93.7%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.5s (21.3%)

Memory

24.9MiB live, 1 950.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 856.0ms

ival-mult: 299.0ms (34.9% of total)

const: 149.0ms (17.4% of total)

ival-log: 91.0ms (10.6% of total)

ival-<=: 91.0ms (10.6% of total)

ival-div: 78.0ms (9.1% of total)

ival-add: 41.0ms (4.8% of total)

ival-sub: 37.0ms (4.3% of total)

ival-pi: 31.0ms (3.6% of total)

ival-and: 25.0ms (2.9% of total)

exact: 11.0ms (1.3% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain262.0ms (3.7%)

Memory

17.8MiB live, 360.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
-	-	`(PI.f32)`
-	-	`#s(literal 1 binary32)`
-	-	`cosTheta`
-	-	`alpha`
-	-	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
-	-	`(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))`
-	-	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
-	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
-	-	`(log.f32 (*.f32 alpha alpha))`
-	-	`(*.f32 alpha alpha)`
-	-	`(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)`
-	-	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

105.0ms

512×

valid

Compiler

Compiled 301 to 56 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-pi: 56.0ms (64% of total)

ival-mult: 15.0ms (17.1% of total)

ival-log: 7.0ms (8% of total)

ival-div: 4.0ms (4.6% of total)

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

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

ival-true: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

preprocess235.0ms (3.3%)

Memory

11.1MiB live, 172.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	130
1	148	122
2	625	120
3	3614	120
4	7843	120
0	13	24
0	23	24
1	51	24
2	159	24
3	643	24
4	2738	24
5	4459	24
6	7758	24
0	8602	21

Stop Event

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

Calls

Call 1

Inputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))

Symmetry

(abs alpha)

(abs cosTheta)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.7%

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify275.0ms (3.9%)

Memory

-12.9MiB live, 167.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	51	91
2	159	91
3	643	91
4	2738	91
5	4459	91
6	7758	91
0	8602	81

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta

localize69.0ms (1%)

Memory

4.7MiB live, 42.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.171875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.30697250976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.37109375	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

60.0ms

256×

valid

Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sub: 38.0ms (72.6% of total)

ival-mult: 8.0ms (15.3% of total)

ival-log: 3.0ms (5.7% of total)

ival-div: 2.0ms (3.8% of total)

ival-pi: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series586.0ms (8.3%)

Memory

-32.3MiB live, 88.8MiB allocated

Counts

7 → 43

Calls

Call 1

Inputs
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 alpha alpha)
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)

Outputs
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(* cosTheta (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* -1 (pow cosTheta 2))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (PI) (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
271.0ms	alpha	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
244.0ms	alpha	@	-inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
56.0ms	cosTheta	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
9.0ms	alpha	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
3.0ms	cosTheta	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify164.0ms (2.3%)

Memory

13.6MiB live, 243.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1444
1	582	1399
2	2271	1346
0	8793	1288

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

Inputs
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(* cosTheta (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* -1 (pow cosTheta 2))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (PI) (log (/ -1 alpha))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(-.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) cosTheta) (log.f32 (.f32 alpha alpha))) (/.f32 cosTheta (PI.f32))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (-.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) cosTheta) (log.f32 (.f32 alpha alpha))) (/.f32 cosTheta (PI.f32))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(fma.f32 (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (log.f32 (.f32 alpha alpha))) (-.f32 (.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (.f32 alpha alpha)))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (log.f32 (.f32 alpha alpha))))) (*.f32 cosTheta cosTheta))
-1
#s(literal -1 binary32)
(- (pow alpha 2) 1)
(fma.f32 alpha alpha #s(literal -1 binary32))
(+ 1 (* -1 (pow cosTheta 2)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (/.f32 cosTheta (log.f32 alpha)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (/.f32 cosTheta (log.f32 alpha)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))) (.f32 (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (/.f32 cosTheta (log.f32 alpha)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))) (.f32 cosTheta cosTheta)) (/.f32 (.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (/.f32 (.f32 cosTheta cosTheta) (log.f32 alpha)) (fma.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 cosTheta (.f32 (PI.f32) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (/.f32 cosTheta (log.f32 alpha)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (-.f32 (/.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))) (.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
(pow alpha 2)
(*.f32 alpha alpha)
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(* -1 cosTheta)
(neg.f32 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(* -1 (pow cosTheta 2))
(*.f32 (neg.f32 cosTheta) cosTheta)
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(* (pow alpha 2) (pow cosTheta 2))
(.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha)
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(fma.f32 (.f32 (.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) alpha) alpha #s(literal 1 binary32))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(fma.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha))) #s(literal -1/2 binary32) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha)))) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha))) #s(literal -1/2 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) cosTheta) (.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha))) #s(literal -1/2 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha)))) (-.f32 (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 alpha))) #s(literal -1/2 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) cosTheta) (.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha))))))
(* -2 (* (PI) (log (/ 1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(* (pow alpha 2) cosTheta)
(.f32 (.f32 alpha alpha) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(.f32 (.f32 (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))) alpha) alpha)
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(.f32 (.f32 (.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (.f32 alpha alpha)))) alpha) alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) cosTheta) (.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (PI.f32) (.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha)))))
(* -2 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))

rewrite248.0ms (3.5%)

Memory

-14.4MiB live, 314.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	23	65
1	98	65
2	768	63
0	8525	55

Stop Event

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

Counts

7 → 609

Calls

Call 1

Inputs
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 alpha alpha)
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)

Outputs
(expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (neg.f32 (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (-.f32 alpha #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha))
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(*.f32 (+.f32 (neg.f32 alpha) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) alpha))
(*.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))))
(*.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 #s(literal 1 binary32) alpha)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (*.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
(/.f32 (.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha)))
(/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 alpha #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32)))
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(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta)) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (neg.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.f32 cosTheta #s(literal 1 binary32)) (.f32 alpha alpha) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta #s(literal 1 binary32)) (.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (.f32 cosTheta alpha) alpha (.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta alpha) alpha (.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (fma.f32 alpha cosTheta cosTheta) alpha (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) cosTheta (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (.f32 cosTheta (.f32 alpha alpha)))
(fma.f32 cosTheta (.f32 alpha alpha) (.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 cosTheta (.f32 alpha alpha) (.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) cosTheta) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 alpha (fma.f32 alpha cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(+.f32 (.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 1 binary32)) (.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(+.f32 (.f32 alpha (fma.f32 alpha cosTheta cosTheta)) (.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) cosTheta)) (.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha))) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32))))
(+.f32 (.f32 (fma.f32 alpha cosTheta cosTheta) alpha) (.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
(+.f32 (.f32 (.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))
(+.f32 (.f32 cosTheta #s(literal -1 binary32)) (.f32 cosTheta (*.f32 alpha alpha)))
(+.f32 (.f32 cosTheta (.f32 alpha alpha)) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 cosTheta (.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32)))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(.f32 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (-.f32 alpha #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 (.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(.f32 (fma.f32 alpha cosTheta cosTheta) (.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)
(.f32 cosTheta (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta))
(/.f32 (neg.f32 (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) cosTheta (.f32 (.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) (.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta)))
(fma.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))
(fma.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha)) (.f32 cosTheta (.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta) (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta)) (.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (.f32 (.f32 cosTheta (.f32 alpha alpha)) cosTheta) (.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(+.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)))
(+.f32 (.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha))) (.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32))))

eval75.0ms (1.1%)

Memory: 27.0MiB live, 178.8MiB allocated
Compiler: Compiled 27 523 to 2 882 computations (89.5% saved)

prune69.0ms (1%)

Memory

-3.2MiB live, 83.8MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	733	24	757
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	733	25	758

Accuracy

99.6%

Counts

758 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha #s(literal 1 binary32)) (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
	98.6%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	85.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
	73.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) cosTheta))))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	98.7%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	9.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	64.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))

Compiler

Compiled 1 588 to 895 computations (43.6% saved)

simplify8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f32 alpha #s(literal 4 binary32))
cost-diff	0	(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
cost-diff	0	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
cost-diff	0	(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
cost-diff	0	(-.f32 alpha #s(literal 1 binary32))
cost-diff	0	(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
cost-diff	0	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	64	(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	562
0	84	560

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

Inputs
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(PI.f32)
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
#s(literal 1 binary32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 alpha #s(literal 4 binary32))
alpha
#s(literal 4 binary32)
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
#s(literal -1 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

Outputs
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(PI.f32)
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
#s(literal 1 binary32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 alpha #s(literal 4 binary32))
alpha
#s(literal 4 binary32)
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
#s(literal -1 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

localize171.0ms (2.4%)

Memory

10.7MiB live, 241.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	0.0	#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
accuracy	29.98788023102775	(PI.f32)
accuracy	10.76314143846646	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	11.05212799154693	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	11.50154134925261	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	7.962862183085321	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	8.532812040670958	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

109.0ms

256×

invalid

Compiler

Compiled 1 138 to 92 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 34.0ms (43.9% of total)

ival-mult: 21.0ms (27.1% of total)

ival-sub: 9.0ms (11.6% of total)

ival-add: 5.0ms (6.5% of total)

ival-log: 3.0ms (3.9% of total)

ival-pow: 3.0ms (3.9% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series85.0ms (1.2%)

Memory

-7.8MiB live, 156.7MiB allocated

Counts

25 → 113

Calls

Call 1

Inputs
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
(pow.f32 alpha #s(literal 4 binary32))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))

Outputs
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
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1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
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(* (PI) (log (pow alpha 2)))
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(* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))
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(+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* (pow cosTheta 2) (+ (* -1 (/ (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
(* cosTheta (- (pow alpha 2) 1))
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
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(* -1 (/ (- 1 (pow alpha 4)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))))
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(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2))
(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(* -1 alpha)
(* alpha (- alpha 1))
(- alpha 1)
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
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(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
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(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(+ 1 (* -1 (pow alpha 4)))
(pow alpha 4)
(* 2 (log alpha))
(* 2 (* (PI) (log alpha)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
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(* (pow alpha 2) (- 1 (/ 1 alpha)))
alpha
(* alpha (- 1 (/ 1 alpha)))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
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(- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(* -1 (pow alpha 4))
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))
(* -2 (log (/ 1 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -1 (* alpha (- (/ 1 alpha) 1)))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(* -2 (log (/ -1 alpha)))
(* -2 (* (PI) (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	cosTheta	@	0	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
14.0ms	alpha	@	inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
14.0ms	alpha	@	0	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
14.0ms	alpha	@	-inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))
8.0ms	cosTheta	@	inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))

simplify203.0ms (2.9%)

Memory

-27.5MiB live, 285.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	5039
1	1949	4686
0	8454	4468

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

Calls

Call 1

Inputs
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))
(+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))
(+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1 (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 2))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
(+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* (pow cosTheta 2) (+ (* -1 (/ (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
(* cosTheta (- (pow alpha 2) 1))
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(* -1 (/ (- 1 (pow alpha 4)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))))
(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2)))) (pow cosTheta 2))
(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2))
(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2))
-1
(- (pow alpha 2) 1)
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(* -1 alpha)
(* alpha (- alpha 1))
(- alpha 1)
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1/2 (/ (* (pow cosTheta 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(+ 1 (* -1 (pow alpha 4)))
(pow alpha 4)
(* 2 (log alpha))
(* 2 (* (PI) (log alpha)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* (pow alpha 2) (- 1 (/ 1 alpha)))
alpha
(* alpha (- 1 (/ 1 alpha)))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(* -1 (pow alpha 4))
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))
(* -2 (log (/ 1 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -1 (* alpha (- (/ 1 alpha) 1)))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(* -2 (log (/ -1 alpha)))
(* -2 (* (PI) (log (/ -1 alpha))))

Outputs
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(/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
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(PI)
(PI.f32)
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(fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))
(/ 1 (PI))
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(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
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1
#s(literal 1 binary32)
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
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(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2))
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(/ (+ (* -1 (/ (- 1 (pow alpha 4)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (- (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1 (/ (- (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2))
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#s(literal -1 binary32)
(- (pow alpha 2) 1)
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(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
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(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(neg.f32 alpha)
(* alpha (- alpha 1))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(- alpha 1)
(-.f32 alpha #s(literal 1 binary32))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(.f32 (PI.f32) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (PI.f32))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
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(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
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(+ 1 (* -1 (pow cosTheta 2)))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(pow alpha 2)
(*.f32 alpha alpha)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 alpha alpha) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(- (* (pow alpha 2) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(+ 1 (* -1 (pow alpha 4)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
(pow alpha 4)
(pow.f32 alpha #s(literal 4 binary32))
(* 2 (log alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(* 2 (* (PI) (log alpha)))
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(* -1 cosTheta)
(neg.f32 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))
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(* (pow alpha 2) (- 1 (/ 1 alpha)))
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alpha
(* alpha (- 1 (/ 1 alpha)))
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(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha)
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
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(* (pow alpha 2) (pow cosTheta 2))
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(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
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(* -1 (pow alpha 4))
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(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))
(* -2 (log (/ 1 alpha)))
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(* -2 (* (PI) (log (/ 1 alpha))))
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(* (pow alpha 2) cosTheta)
(.f32 (.f32 alpha alpha) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(.f32 (.f32 (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))) alpha) alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
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(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 alpha alpha))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(- (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (.f32 (pow.f32 alpha #s(literal 6 binary32)) cosTheta) cosTheta))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(* -2 (* (PI) (log (/ -1 alpha))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))

rewrite16.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	315
0	84	313

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

25 → 29

Calls

Call 1

Inputs
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
(pow.f32 alpha #s(literal 4 binary32))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))

Outputs
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
(pow.f32 alpha #s(literal 4 binary32))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))

eval45.0ms (0.6%)

Memory: -27.3MiB live, 54.2MiB allocated
Compiler: Compiled 11 947 to 932 computations (92.2% saved)

prune113.0ms (1.6%)

Memory

8.7MiB live, 140.3MiB allocated

Pruning

53 alts after pruning (48 fresh and 5 done)

	Pruned	Kept	Total
New	190	34	224
Fresh	5	14	19
Picked	1	4	5
Done	0	1	1
Total	196	53	249

Accuracy

99.8%

Counts

249 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓	98.6%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	85.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
	74.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) cosTheta))))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	5.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
▶	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
✓	98.7%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	9.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	64.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
	64.3%	#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 4 034 to 2 352 computations (41.7% saved)

simplify9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
cost-diff	0	(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
cost-diff	0	(pow.f32 alpha #s(literal 6 binary32))
cost-diff	0	(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
cost-diff	0	(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
cost-diff	0	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	722
0	122	722

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

Inputs
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
#s(literal -1 binary32)
(pow.f32 alpha #s(literal 6 binary32))
alpha
#s(literal 6 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha)))
#s(literal 1 binary32)
(-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))
(pow.f32 alpha #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(PI.f32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32)))
(fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 cosTheta cosTheta)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
(log.f32 alpha)

Outputs
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
#s(literal -1 binary32)
(pow.f32 alpha #s(literal 6 binary32))
alpha
#s(literal 6 binary32)
(+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha)))
#s(literal 1 binary32)
(-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))
(pow.f32 alpha #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(PI.f32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32)))
(fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(*.f32 cosTheta cosTheta)
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
(log.f32 alpha)

localize149.0ms (2.1%)

Memory

-18.4MiB live, 294.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 #s(literal 2 binary32) (PI.f32))
accuracy	0.0	(log.f32 alpha)
accuracy	0.0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
accuracy	29.98788023102775	(PI.f32)
accuracy	7.9751588270367995	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	8.110246627586244	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	8.169484524199586	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	5.2255586574599056	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	7.735590409980258	(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
accuracy	8.045681749526267	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
accuracy	0.0	#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
accuracy	8.876439381018578	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(neg.f32 alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

94.0ms

256×

invalid

Compiler

Compiled 1 420 to 126 computations (91.1% saved)

Precisions

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

ival-mult: 29.0ms (41.7% of total)

ival-div: 11.0ms (15.8% of total)

ival-add: 9.0ms (13% of total)

ival-log: 7.0ms (10.1% of total)

ival-pow: 6.0ms (8.6% of total)

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

ival-neg: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series88.0ms (1.2%)

Memory

13.0MiB live, 208.2MiB allocated

Counts

23 → 93

Calls

Call 1

Inputs
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
(pow.f32 alpha #s(literal 6 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(log.f32 alpha)
(*.f32 #s(literal 2 binary32) (PI.f32))

Outputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
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(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
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1
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
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(* (PI) (log (pow alpha 2)))
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(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
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(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* -1 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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-1
(- (pow alpha 2) 1)
(- (pow alpha 6) 1)
(pow alpha 6)
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
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(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ 1 (* -1 (pow cosTheta 2)))
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(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(* 2 (log alpha))
(* -1 alpha)
(log alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
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(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
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(* (pow alpha 2) (pow cosTheta 2))
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
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(* -2 (log (/ 1 alpha)))
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(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -2 (log (/ -1 alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	alpha	@	-inf	((/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (+ -1 (pow alpha 6)) (pow alpha 6) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (PI) (log (* alpha alpha)) (neg alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log alpha) (* 2 (PI)))
22.0ms	alpha	@	inf	((/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (+ -1 (pow alpha 6)) (pow alpha 6) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (PI) (log (* alpha alpha)) (neg alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log alpha) (* 2 (PI)))
17.0ms	alpha	@	0	((/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (+ -1 (pow alpha 6)) (pow alpha 6) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (PI) (log (* alpha alpha)) (neg alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log alpha) (* 2 (PI)))
7.0ms	cosTheta	@	-inf	((/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (+ -1 (pow alpha 6)) (pow alpha 6) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (PI) (log (* alpha alpha)) (neg alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log alpha) (* 2 (PI)))
5.0ms	cosTheta	@	inf	((/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (+ -1 (pow alpha 6)) (pow alpha 6) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (PI) (log (* alpha alpha)) (neg alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (log alpha) (* 2 (PI)))

simplify217.0ms (3.1%)

Memory

14.6MiB live, 176.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	4294
1	1612	3879
2	7315	3843
0	8104	3691

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 93

Calls

Call 1

Inputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(* (PI) (log (pow alpha 2)))
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* -1 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
-1
(- (pow alpha 2) 1)
(- (pow alpha 6) 1)
(pow alpha 6)
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(* 2 (log alpha))
(* -1 alpha)
(log alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -2 (log (/ 1 alpha)))
(* -1 (log (/ 1 alpha)))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -2 (log (/ -1 alpha)))
(+ (log -1) (* -1 (log (/ -1 alpha))))

Outputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
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(PI)
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(/ 1 (PI))
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1
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(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (PI.f32) (.f32 alpha alpha)) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
(* -2 (log (/ 1 alpha)))
(*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))
(* -1 (log (/ 1 alpha)))
(log.f32 alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (pow.f32 alpha #s(literal 4 binary32))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (.f32 (pow.f32 alpha #s(literal 6 binary32)) cosTheta) cosTheta))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (+.f32 (+.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))))
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))
(-.f32 (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (PI.f32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))
(+ (log -1) (* -1 (log (/ -1 alpha))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))

rewrite20.0ms (0.3%)

Memory

-8.0MiB live, 26.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	339
0	122	339

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

23 → 28

Calls

Call 1

Inputs
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
(pow.f32 alpha #s(literal 6 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(log.f32 alpha)
(*.f32 #s(literal 2 binary32) (PI.f32))

Outputs
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32)))
(pow.f32 alpha #s(literal 6 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))
(log.f32 alpha)
(*.f32 #s(literal 2 binary32) (PI.f32))

eval20.0ms (0.3%)

Memory: -2.1MiB live, 35.3MiB allocated
Compiler: Compiled 10 879 to 725 computations (93.3% saved)

prune79.0ms (1.1%)

Memory

-13.9MiB live, 113.9MiB allocated

Pruning

76 alts after pruning (66 fresh and 10 done)

	Pruned	Kept	Total
New	142	25	167
Fresh	2	41	43
Picked	0	5	5
Done	0	5	5
Total	144	76	220

Accuracy

99.8%

Counts

220 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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✓	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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✓	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
✓	98.6%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.6%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	85.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
	73.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) cosTheta))))
✓	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	6.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
✓	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
✓	98.7%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 #s(approx (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	64.3%	#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	10.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	64.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))

Compiler

Compiled 6 334 to 3 609 computations (43% saved)

simplify10.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
cost-diff	0	(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
cost-diff	0	#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
cost-diff	0	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(PI.f32)
cost-diff	0	(/.f32 #s(literal 1 binary32) (PI.f32))
cost-diff	0	#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
cost-diff	0	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(pow.f32 alpha #s(literal 6 binary32))
cost-diff	0	(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
cost-diff	0	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	931
0	128	931

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

Inputs
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 6 binary32))
alpha
#s(literal 6 binary32)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) alpha)))
(-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) alpha))
(+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
alpha
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
cosTheta
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
cosTheta
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
alpha
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (PI.f32))
(*.f32 alpha alpha)
alpha
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)

Outputs
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 6 binary32))
alpha
#s(literal 6 binary32)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) alpha)))
(-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (neg.f32 alpha) alpha))
(+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 4 binary32))
#s(literal 4 binary32)
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
alpha
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
cosTheta
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)
cosTheta
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
alpha
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (PI.f32))
(*.f32 alpha alpha)
alpha
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(neg.f32 cosTheta)

localize190.0ms (2.7%)

Memory

6.1MiB live, 276.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0781119098506056	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	2.261649236269286	(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	2.3019565721216075	(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	1.198658997876022	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	2.280912774891853	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	2.306043994207138	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	2.266691651762276	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	2.2910932149642282	(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
accuracy	2.310781208204282	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	0.0	#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
accuracy	3.461834832139082	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(neg.f32 alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

98.0ms

256×

invalid

Compiler

Compiled 1 839 to 121 computations (93.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 31.0ms (42.3% of total)

ival-pow: 15.0ms (20.5% of total)

ival-div: 9.0ms (12.3% of total)

ival-add: 6.0ms (8.2% of total)

ival-sub: 5.0ms (6.8% of total)

ival-log: 3.0ms (4.1% of total)

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

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series66.0ms (0.9%)

Memory

-29.6MiB live, 102.1MiB allocated

Counts

25 → 77

Calls

Call 1

Inputs
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 6 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(*.f32 alpha alpha)
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(fma.f32 alpha alpha #s(literal -1 binary32))

Outputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI))))
(* (pow cosTheta 2) (- (+ (/ 1 (PI)) (/ 1 (* (pow cosTheta 2) (PI)))) (/ (pow alpha 2) (PI))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* -1 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
-1
(- (pow alpha 2) 1)
(- (pow alpha 6) 1)
(pow alpha 6)
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(+ (/ 1 (PI)) (/ (pow cosTheta 2) (PI)))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (PI))) (+ (/ 1 (PI)) (/ (pow cosTheta 2) (PI))))
(+ (* -1 (/ (pow alpha 2) (PI))) (/ 1 (PI)))
(* 2 (log alpha))
(* -1 alpha)
(pow alpha 2)
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (PI)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (PI))) (+ (/ 1 (* (pow alpha 2) (PI))) (/ (pow cosTheta 2) (* (pow alpha 2) (PI))))))
(* -1 (/ (pow alpha 2) (PI)))
(* (pow alpha 2) (- (/ 1 (* (pow alpha 2) (PI))) (/ 1 (PI))))
(* -2 (log (/ 1 alpha)))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(* -2 (log (/ -1 alpha)))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	alpha	@	inf	((/ (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ 1 (PI)) (PI) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (log (* alpha alpha)) (neg alpha) (* alpha alpha) (* cosTheta (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1))
9.0ms	alpha	@	-inf	((/ (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ 1 (PI)) (PI) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (log (* alpha alpha)) (neg alpha) (* alpha alpha) (* cosTheta (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1))
9.0ms	alpha	@	0	((/ (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ 1 (PI)) (PI) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (log (* alpha alpha)) (neg alpha) (* alpha alpha) (* cosTheta (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1))
5.0ms	cosTheta	@	-inf	((/ (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ 1 (PI)) (PI) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (log (* alpha alpha)) (neg alpha) (* alpha alpha) (* cosTheta (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1))
2.0ms	cosTheta	@	inf	((/ (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (pow alpha 6) 1) (/ 1 (- (+ (pow alpha 4) 1) (* (neg alpha) alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ 1 (PI)) (PI) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (log (* alpha alpha)) (neg alpha) (* alpha alpha) (* cosTheta (+ (* alpha alpha) -1)) (+ (* alpha alpha) -1))

simplify156.0ms (2.2%)

Memory

33.5MiB live, 186.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	2989
1	1221	2623
2	5611	2466
0	8180	2356

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 77

Calls

Call 1

Inputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* cosTheta (- (pow alpha 2) 1))
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI))))
(* (pow cosTheta 2) (- (+ (/ 1 (PI)) (/ 1 (* (pow cosTheta 2) (PI)))) (/ (pow alpha 2) (PI))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* -1 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
-1
(- (pow alpha 2) 1)
(- (pow alpha 6) 1)
(pow alpha 6)
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(+ (/ 1 (PI)) (/ (pow cosTheta 2) (PI)))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (PI))) (+ (/ 1 (PI)) (/ (pow cosTheta 2) (PI))))
(+ (* -1 (/ (pow alpha 2) (PI))) (/ 1 (PI)))
(* 2 (log alpha))
(* -1 alpha)
(pow alpha 2)
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (PI)))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (PI))) (+ (/ 1 (* (pow alpha 2) (PI))) (/ (pow cosTheta 2) (* (pow alpha 2) (PI))))))
(* -1 (/ (pow alpha 2) (PI)))
(* (pow alpha 2) (- (/ 1 (* (pow alpha 2) (PI))) (/ 1 (PI))))
(* -2 (log (/ 1 alpha)))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(* -2 (log (/ -1 alpha)))

Outputs
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(-.f32 (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))) (.f32 (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
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(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2)))))))
(fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))) (-.f32 (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 cosTheta cosTheta)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))))
(/ 1 (PI))
(/.f32 #s(literal 1 binary32) (PI.f32))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(fma.f32 (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(fma.f32 (-.f32 (fma.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (-.f32 (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(PI)
(PI.f32)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(* cosTheta (- (pow alpha 2) 1))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/.f32 (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 alpha alpha))) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))))) (.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (- (+ 1 (pow alpha 4)) (* -1 (pow alpha 2))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/.f32 (-.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha))))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (.f32 (PI.f32) (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (log.f32 (.f32 alpha alpha))) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (.f32 alpha alpha)))))))) (.f32 cosTheta cosTheta))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))) (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (PI.f32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (*.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta)
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(.f32 (.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (- (+ (/ 1 (PI)) (/ 1 (* (pow cosTheta 2) (PI)))) (/ (pow alpha 2) (PI))))
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(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
(-.f32 (-.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))))) (pow.f32 alpha #s(literal 4 binary32))))
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (+.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 4 binary32))) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)))))) (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))))) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 cosTheta cosTheta))))
(* -2 (log (/ -1 alpha)))
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32))

rewrite19.0ms (0.3%)

Memory

-14.3MiB live, 21.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	427
0	128	427

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

25 → 33

Calls

Call 1

Inputs
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 6 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(*.f32 alpha alpha)
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(fma.f32 alpha alpha #s(literal -1 binary32))

Outputs
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 6 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 #s(approx (/ 1 ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 #s(approx (/ 1 ( (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 alpha alpha) (PI.f32)))
(log.f32 (*.f32 alpha alpha))
(neg.f32 alpha)
(*.f32 alpha alpha)
#s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))

eval21.0ms (0.3%)

Memory: 1.9MiB live, 37.6MiB allocated
Compiler: Compiled 9 805 to 664 computations (93.2% saved)

prune93.0ms (1.3%)

Memory

2.6MiB live, 248.1MiB allocated

Pruning

100 alts after pruning (85 fresh and 15 done)

	Pruned	Kept	Total
New	124	32	156
Fresh	8	53	61
Picked	0	5	5
Done	0	10	10
Total	132	100	232

Accuracy

99.8%

Counts

232 → 100

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	98.4%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 #s(approx (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	64.3%	#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	9.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	64.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))

Compiler

Compiled 9 992 to 3 101 computations (69% saved)

regimes169.0ms (2.4%)

Memory

-2.5MiB live, 272.7MiB allocated

Counts

116 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (.f32 (neg.f32 alpha) (.f32 alpha (/.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (fma.f32 cosTheta (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) cosTheta))))
(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(approx (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

52.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
50.0ms	alpha
31.0ms	(*.f32 alpha alpha)
29.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta`
98.7%	1	`alpha`
98.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes111.0ms (1.6%)

Memory

26.2MiB live, 176.5MiB allocated

Counts

102 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

27.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
27.0ms	(*.f32 alpha alpha)
26.0ms	alpha
26.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta`
98.5%	1	`alpha`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.5%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes111.0ms (1.6%)

Memory

-12.2MiB live, 190.9MiB allocated

Counts

101 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (.f32 (neg.f32 alpha) (.f32 alpha (/.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (fma.f32 cosTheta (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))

Calls

4 calls:

28.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
27.0ms	(*.f32 alpha alpha)
26.0ms	cosTheta
25.0ms	alpha

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta`
98.3%	1	`alpha`
98.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes126.0ms (1.8%)

Memory

-7.2MiB live, 154.2MiB allocated

Counts

99 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha #s(literal 1 binary32)) (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))

Calls

4 calls:

36.0ms	alpha
31.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
30.0ms	cosTheta
25.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.2%	1	`cosTheta`
98.2%	1	`alpha`
98.2%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes116.0ms (1.6%)

Memory

10.3MiB live, 168.6MiB allocated

Counts

98 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
#s(approx (/ (/ (+ -1 (pow alpha 6)) (+ 1 (- (pow alpha 4) (* (neg alpha) alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))

Calls

4 calls:

35.0ms	cosTheta
27.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
25.0ms	(*.f32 alpha alpha)
24.0ms	alpha

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta`
96.6%	1	`alpha`
96.6%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
96.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes114.0ms (1.6%)

Memory

18.4MiB live, 171.3MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (.f32 (neg.f32 alpha) (.f32 alpha (/.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) #s(approx (+ (* (- (/ 1 (PI)) (/ (* alpha alpha) (PI))) (* cosTheta cosTheta)) (/ 1 (PI))) (fma.f32 cosTheta (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))) cosTheta) cosTheta)) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Calls

4 calls:

34.0ms	(*.f32 alpha alpha)
26.0ms	cosTheta
25.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
23.0ms	alpha

Results

Accuracy	Segments	Branch
1.0%	1	`cosTheta`
1.0%	1	`alpha`
1.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
1.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes25.0ms (0.4%)

Memory

-24.7MiB live, 50.2MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Calls

4 calls:

7.0ms	cosTheta
7.0ms	(*.f32 alpha alpha)
5.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms	alpha

Results

Accuracy	Segments	Branch
0.9%	1	`cosTheta`
0.9%	1	`alpha`
0.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
0.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.2%)

Memory

32.5MiB live, 32.5MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Calls

4 calls:

4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms	(*.f32 alpha alpha)
3.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
0.8%	1	`cosTheta`
0.8%	1	`alpha`
0.8%	1	`(*.f32 alpha alpha)`
0.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes11.0ms (0.2%)

Memory

-11.3MiB live, 26.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Calls

4 calls:

4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	(*.f32 alpha alpha)
2.0ms	alpha
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
0.7%	1	`cosTheta`
0.7%	1	`alpha`
0.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
0.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(approx (* alpha alpha) (.f32 alpha alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Calls

4 calls:

2.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	(*.f32 alpha alpha)
2.0ms	alpha
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
0.7%	1	`cosTheta`
0.7%	1	`alpha`
0.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
0.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes9.0ms (0.1%)

Memory

-25.8MiB live, 19.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

Calls

4 calls:

4.0ms	(*.f32 alpha alpha)
1.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms	alpha
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
-0.0%	1	`cosTheta`
-0.0%	1	`alpha`
-0.0%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
-0.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify14.0ms (0.2%)

Memory

-12.4MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Stop Event

1×	iter limit
1×	unsound

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (+.f32 (.f32 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))

soundness854.0ms (12.1%)

Memory

19.4MiB live, 658.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	427
0	128	427
0	197	1444
1	582	1399
2	2271	1346
0	8793	1288
0	13	65
0	23	65
1	98	65
2	768	63
0	8525	55
0	578	5039
1	1949	4686
0	8454	4468
0	392	2989
1	1221	2623
2	5611	2466
0	8180	2356
0	505	4294
1	1612	3879
2	7315	3843
0	8104	3691

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

Compiler

Compiled 1 123 to 488 computations (56.5% saved)

preprocess67.0ms (0.9%)

Memory

-26.1MiB live, 99.1MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 1 078 to 314 computations (70.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (0.9%)

sample1.5s (21.3%)

explain262.0ms (3.7%)

preprocess235.0ms (3.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify275.0ms (3.9%)

localize69.0ms (1%)

series586.0ms (8.3%)

simplify164.0ms (2.3%)

rewrite248.0ms (3.5%)

eval75.0ms (1.1%)

prune69.0ms (1%)

simplify8.0ms (0.1%)

localize171.0ms (2.4%)

series85.0ms (1.2%)

simplify203.0ms (2.9%)

rewrite16.0ms (0.2%)

eval45.0ms (0.6%)

prune113.0ms (1.6%)

simplify9.0ms (0.1%)

localize149.0ms (2.1%)

series88.0ms (1.2%)

simplify217.0ms (3.1%)

rewrite20.0ms (0.3%)

eval20.0ms (0.3%)

prune79.0ms (1.1%)

simplify10.0ms (0.1%)

localize190.0ms (2.7%)

series66.0ms (0.9%)

simplify156.0ms (2.2%)

rewrite19.0ms (0.3%)

eval21.0ms (0.3%)

prune93.0ms (1.3%)

regimes169.0ms (2.4%)

regimes111.0ms (1.6%)

regimes111.0ms (1.6%)

regimes126.0ms (1.8%)

regimes116.0ms (1.6%)

regimes114.0ms (1.6%)

regimes25.0ms (0.4%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

simplify14.0ms (0.2%)

soundness854.0ms (12.1%)

preprocess67.0ms (0.9%)

end0.0ms (0%)

Profiling