Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze75.0ms (1.5%)

Memory

19.8MiB live, 101.6MiB allocated; 57ms collecting garbage

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)

sample1.3s (27.2%)

Memory

28.7MiB live, 1 073.4MiB allocated; 914ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 526.0ms

ival-mult: 256.0ms (48.7% of total)

ival-log: 89.0ms (16.9% of total)

ival-div: 59.0ms (11.2% of total)

ival-add: 38.0ms (7.2% of total)

ival-sub: 38.0ms (7.2% of total)

ival-pi: 29.0ms (5.5% of total)

exact: 7.0ms (1.3% of total)

const: 4.0ms (0.8% of total)

adjust: 2.0ms (0.4% of total)

ival-assert: 2.0ms (0.4% of total)

ival-and: 1.0ms (0.2% of total)

ival-<=: 1.0ms (0.2% of total)

Bogosity

explain168.0ms (3.4%)

Memory

20.6MiB live, 209.3MiB allocated; 21ms collecting garbage

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

57.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

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

ival-mult: 24.0ms (59% of total)

ival-log: 5.0ms (12.3% of total)

ival-div: 4.0ms (9.8% of total)

ival-sub: 3.0ms (7.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess192.0ms (3.9%)

Memory

5.5MiB live, 194.1MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	170	146
2	616	146
3	3554	144
0	13	24
0	23	24
1	55	24
2	224	24
3	1279	24
4	7276	24
0	8561	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 cosTheta)

(abs alpha)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.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

▶

98.5%

(/.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)

series93.0ms (1.9%)

Memory

11.7MiB live, 110.1MiB allocated; 9ms collecting garbage

Counts

13 → 61

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
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (pow alpha 2)))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
23.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
20.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
9.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite177.0ms (3.6%)

Memory

15.6MiB live, 104.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	324	2685
1	1721	2664
0	8098	2594

Stop Event

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

Counts

74 → 156

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
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (pow alpha 2)))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))

Outputs
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #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 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (log.f32 (.f32 alpha alpha))) (sinh.f32 (log.f32 (.f32 alpha alpha))))
(exp.f32 (log.f32 (*.f32 alpha alpha)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(+.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))
(*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(+.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha)))
(+.f32 (log.f32 (fabs.f32 alpha)) (log.f32 (fabs.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))) (/.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 cosTheta (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.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 (fma.f32 #s(literal -1 binary32) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.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)))) (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
#s(approx cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #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) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (* (PI) (log (* alpha alpha))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (/.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (fma.f32 (/.f32 cosTheta (.f32 alpha alpha)) #s(literal -1 binary32) cosTheta) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.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))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 #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 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.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))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))))

eval35.0ms (0.7%)

Memory: -28.5MiB live, 33.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 7 744 to 958 computations (87.6% saved)

prune26.0ms (0.5%)

Memory

-5.2MiB live, 40.3MiB allocated; 4ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	201	25	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	25	227

Accuracy

99.9%

Counts

227 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.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%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.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))))
	98.0%	(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha 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 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.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 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	52.3%	(/.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 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 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 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
▶	95.0%	(/.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)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.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 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
	51.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))))
	98.4%	(/.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) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (/.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha))))
▶	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.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))))
▶	97.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 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))))
	66.6%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
	98.1%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))

Compiler

Compiled 1 690 to 926 computations (45.2% saved)

series270.0ms (5.5%)

Memory

42.8MiB live, 264.8MiB allocated; 37ms collecting garbage

Counts

36 → 154

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (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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#s(approx (log (pow (pow alpha (PI)) 2)) #s(hole binary32 (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))
#s(approx (pow (pow alpha (PI)) 2) #s(hole binary32 (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))

Calls

6 calls:

Time	Variable		Point	Expression
112.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (pow alpha -2)) (* alpha alpha)) (- 1 (pow alpha -2)) (pow alpha -2) -2 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)))
59.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (pow alpha -2)) (* alpha alpha)) (- 1 (pow alpha -2)) (pow alpha -2) -2 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)))
57.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (pow alpha -2)) (* alpha alpha)) (- 1 (pow alpha -2)) (pow alpha -2) -2 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)))
15.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (pow alpha -2)) (* alpha alpha)) (- 1 (pow alpha -2)) (pow alpha -2) -2 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)))
13.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (pow alpha -2)) (* alpha alpha)) (- 1 (pow alpha -2)) (pow alpha -2) -2 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)))

rewrite261.0ms (5.3%)

Memory

-25.8MiB live, 206.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	8085
0	692	7530
1	3576	7479
0	8551	7293

Stop Event

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

Counts

190 → 441

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.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 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(+.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
(/.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))))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
#s(literal 2 binary32)
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 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))))
#s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha)))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 alpha #s(literal -2 binary32))
#s(literal -2 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)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (* (log alpha) (PI)) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#s(approx (log (pow (pow alpha (PI)) 2)) #s(hole binary32 (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))
#s(approx (pow (pow alpha (PI)) 2) #s(hole binary32 (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))

Outputs
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (log.f32 (.f32 alpha alpha))) (sinh.f32 (log.f32 (.f32 alpha alpha))))
(exp.f32 (log.f32 (*.f32 alpha alpha)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (log.f32 (.f32 alpha alpha)) (PI.f32) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (PI.f32) (log.f32 (.f32 alpha alpha)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(+.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (neg.f32 (pow.f32 alpha (PI.f32))) (neg.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (fabs.f32 (pow.f32 alpha (PI.f32))) (fabs.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal -2 binary32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(PI.f32)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 cosTheta (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
cosTheta
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(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
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(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
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(pow.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
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(pow.f32 alpha (*.f32 (PI.f32) #s(literal 1 binary32)))
(pow.f32 alpha (PI.f32))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (log (pow (* alpha alpha) (PI))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (log (pow (* alpha alpha) (PI))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1/2 binary32) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (.f32 alpha alpha) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (log (pow (* alpha alpha) (PI))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (* (- 1 (pow alpha -2)) (* alpha alpha)) #s(literal -1 binary32))
#s(approx (* (- 1 (pow alpha -2)) (* alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (- 1 (pow alpha -2)) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
#s(approx (- 1 (pow alpha -2)) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))
#s(approx (pow alpha -2) (pow.f32 alpha #s(literal -2 binary32)))
#s(approx (log (pow (* alpha alpha) (PI))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
#s(approx (pow alpha (PI)) (pow.f32 alpha (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta)) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (log (* alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (pow.f32 alpha #s(literal 6 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) #s(literal 2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (* (log alpha) (PI)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))
#s(approx (log alpha) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (exp.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (pow alpha (PI)) (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))

eval66.0ms (1.3%)

Memory: 15.0MiB live, 113.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 23 475 to 2 045 computations (91.3% saved)

prune39.0ms (0.8%)

Memory

0.2MiB live, 91.5MiB allocated; 5ms collecting garbage

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	663	21	684
Fresh	11	9	20
Picked	3	2	5
Done	0	0	0
Total	677	32	709

Accuracy

100.0%

Counts

709 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	94.8%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.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))))
	94.6%	(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) #s(literal -1 binary32) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (.f32 alpha alpha)))))
	52.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (log alpha) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 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 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
✓	95.0%	(/.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)) #s(literal 1 binary32))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.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 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
	51.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
▶	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 alpha alpha)) (.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))))
	97.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.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))))
▶	97.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (.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))))
	98.2%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) 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))))
▶	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
	98.1%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	94.9%	(-.f32 (/.f32 (.f32 alpha alpha) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))

Compiler

Compiled 2 060 to 1 206 computations (41.5% saved)

series308.0ms (6.3%)

Memory

-31.6MiB live, 260.3MiB allocated; 67ms collecting garbage

Counts

45 → 187

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (log (pow alpha (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow alpha (PI))))) (* 1/2 (/ (- (pow alpha 2) 1) (log (pow alpha (PI))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (log (pow alpha (PI))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (log (pow alpha (PI))))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow alpha (PI))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (log (pow alpha (PI))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (log (pow alpha (PI))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow alpha (PI))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (log (pow alpha (PI))))))))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (log (pow alpha (PI))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (log (pow alpha (PI)))) (* 2 (* (pow cosTheta 2) (* (log (pow alpha (PI))) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log alpha)))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (* (PI) (log alpha)))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))) (* (PI) (log alpha)))) (* 1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* cosTheta cosTheta) (PI)) #s(hole binary32 (* (pow cosTheta 2) (PI))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (log (pow alpha (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (log (pow alpha (PI))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (log (pow alpha (PI))) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (log (pow alpha (PI))) (pow (- (pow alpha 2) 1) 2)))) (* 1/2 (/ 1 (log (pow alpha (PI)))))) (/ 1/2 (* (pow cosTheta 2) (* (log (pow alpha (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (* 1/2 (/ 1 (log (pow alpha (PI))))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (log (pow alpha (PI))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (log (pow alpha (PI))) (- (pow alpha 2) 1)))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (log (pow alpha (PI))) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (log (pow alpha (PI))) (- (pow alpha 2) 1))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (log (pow alpha (PI))) (- (pow alpha 2) 1))) (* 2 (/ (log (pow alpha (PI))) (pow cosTheta 2)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 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))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 4)))))) (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3))))))))) (pow cosTheta 2))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (pow cosTheta 2) (* (log (pow alpha (PI))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (log (pow alpha (PI))) (+ 1 (* -1 (pow cosTheta 2)))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (log (pow alpha (PI))) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (log (pow alpha (PI))) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (* (log alpha) (PI)) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (+ (* 2 (/ (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))) (pow alpha 2))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))) (pow alpha 2))))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* 2 (/ (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))) (pow alpha 2)))))))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (log (/ -1 alpha))))))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (log (/ -1 alpha))) (* 2 (/ (log (/ -1 alpha)) (pow alpha 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
94.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (pow alpha (PI))) 2) (log (pow alpha (PI))) (pow alpha (PI)) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* (/ 1 alpha) (/ 1 alpha)) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (* 2 (PI)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))
72.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (pow alpha (PI))) 2) (log (pow alpha (PI))) (pow alpha (PI)) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* (/ 1 alpha) (/ 1 alpha)) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (* 2 (PI)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))
63.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (pow alpha (PI))) 2) (log (pow alpha (PI))) (pow alpha (PI)) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* (/ 1 alpha) (/ 1 alpha)) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (* 2 (PI)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))
37.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (pow alpha (PI))) 2) (log (pow alpha (PI))) (pow alpha (PI)) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* (/ 1 alpha) (/ 1 alpha)) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (* 2 (PI)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))
20.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (pow alpha (PI))) 2) (log (pow alpha (PI))) (pow alpha (PI)) (PI) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* (/ 1 alpha) (/ 1 alpha)) (/ 1 alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (* 2 (PI)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))

rewrite228.0ms (4.7%)

Memory

13.0MiB live, 239.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	789	9414
0	867	8659
1	4597	8639
0	8216	8126

Stop Event

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

Counts

232 → 483

Calls

Call 1

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

Outputs
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (log.f32 (.f32 alpha alpha))) (sinh.f32 (log.f32 (.f32 alpha alpha))))
(exp.f32 (log.f32 (*.f32 alpha alpha)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (log.f32 (pow.f32 alpha (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(fma.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(fma.f32 (log.f32 alpha) (PI.f32) (log.f32 (pow.f32 alpha (PI.f32))))
(fma.f32 (PI.f32) (log.f32 alpha) (log.f32 (pow.f32 alpha (PI.f32))))
(+.f32 (log.f32 (pow.f32 alpha (PI.f32))) (log.f32 (pow.f32 alpha (PI.f32))))
(log.f32 (pow.f32 alpha (PI.f32)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (PI.f32) (log.f32 alpha))
(+.f32 (log.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (pow.f32 alpha (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (PI.f32)) (log.f32 alpha))
(pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 alpha (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 alpha (PI.f32))
(+.f32 (cosh.f32 (log.f32 (pow.f32 alpha (PI.f32)))) (sinh.f32 (log.f32 (pow.f32 alpha (PI.f32)))))
(exp.f32 (log.f32 (pow.f32 alpha (PI.f32))))
(PI.f32)
#s(literal 2 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(/.f32 (neg.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
#s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32))
#s(literal -1 binary32)
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
(*.f32 #s(literal 2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))
(fma.f32 (log.f32 alpha) (PI.f32) (log.f32 (pow.f32 alpha (PI.f32))))
(fma.f32 (PI.f32) (log.f32 alpha) (log.f32 (pow.f32 alpha (PI.f32))))
(+.f32 (log.f32 (pow.f32 alpha (PI.f32))) (log.f32 (pow.f32 alpha (PI.f32))))
(log.f32 (*.f32 alpha alpha))
(*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(fma.f32 (neg.f32 (log.f32 alpha)) #s(literal -1 binary32) (log.f32 alpha))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 alpha)) (log.f32 alpha))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(+.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha)))
(+.f32 (log.f32 (fabs.f32 alpha)) (log.f32 (fabs.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1/2 binary32) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (.f32 alpha alpha) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32))
#s(approx (* (+ alpha 1) (- alpha 1)) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (* (log (pow alpha (PI))) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (log (pow alpha (PI))) (log.f32 (pow.f32 alpha (PI.f32))))
#s(approx (pow alpha (PI)) (pow.f32 alpha (PI.f32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (* (log (pow alpha (PI))) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1/2 binary32) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32))))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (.f32 alpha alpha) (.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))) #s(literal 1/2 binary32))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (PI.f32)))))))
#s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32))
#s(approx (* (+ alpha 1) (- alpha 1)) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (+ alpha 1) #s(literal 1 binary32))
#s(approx (+ alpha 1) (+.f32 #s(literal 1 binary32) alpha))
#s(approx (- alpha 1) #s(literal -1 binary32))
#s(approx (- alpha 1) (-.f32 alpha #s(literal 1 binary32)))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#s(approx (* (log (pow alpha (PI))) 2) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (log (pow alpha (PI))) (log.f32 (pow.f32 alpha (PI.f32))))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) #s(literal -1 binary32))
#s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- 1 (* (/ 1 alpha) (/ 1 alpha))) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
#s(approx (- 1 (* (/ 1 alpha) (/ 1 alpha))) (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))))
#s(approx (* (/ 1 alpha) (/ 1 alpha)) (pow.f32 alpha #s(literal -2 binary32)))
#s(approx (/ 1 alpha) (/.f32 #s(literal 1 binary32) alpha))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 alpha (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 alpha (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 alpha) (PI.f32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (log.f32 (pow.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32))) #s(literal -2 binary32))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 alpha (PI.f32))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal 2 binary32))))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (log.f32 alpha) (*.f32 #s(literal -2 binary32) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
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#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (log (pow alpha (PI))) 2) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (log (pow alpha (PI))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))
#s(approx (pow alpha (PI)) (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (.f32 cosTheta cosTheta)) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (log (pow alpha (PI))) 2) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (.f32 cosTheta cosTheta)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (neg.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (.f32 cosTheta cosTheta)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))))))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) #s(literal 2 binary32)))
#s(approx (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (log (pow alpha (PI))) 2) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (log (pow alpha (PI))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))
#s(approx (log alpha) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (+ (* (* 2 (PI)) (log alpha)) (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1)))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (.f32 alpha alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (* (log (* alpha alpha)) (- (* alpha alpha) 1))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (.f32 (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal 2 binary32))) (.f32 alpha alpha)))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (.f32 (.f32 #s(literal -2 binary32) (*.f32 alpha alpha)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (.f32 (fma.f32 (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (.f32 alpha alpha)) #s(literal 2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)))) (*.f32 alpha alpha)))

eval84.0ms (1.7%)

Memory: -22.0MiB live, 123.9MiB allocated; 20ms collecting garbage
Compiler: Compiled 33 277 to 2 795 computations (91.6% saved)

prune68.0ms (1.4%)

Memory

-7.8MiB live, 84.0MiB allocated; 7ms collecting garbage

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	792	19	811
Fresh	9	16	25
Picked	4	1	5
Done	1	1	2
Total	806	37	843

Accuracy

100.0%

Counts

843 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	94.8%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.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))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) #s(literal -1 binary32) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (.f32 alpha alpha)))))
▶	52.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (log alpha) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 #s(approx (pow alpha (PI)) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32))))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 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 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
✓	95.0%	(/.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)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.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 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) #s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))))))
	98.1%	(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32)))))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.6%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	52.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (.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))))
	97.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.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))))
	97.4%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	95.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.2%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) 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 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.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))))
▶	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	94.9%	(-.f32 (/.f32 (.f32 alpha alpha) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	95.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))

Compiler

Compiled 2 438 to 1 489 computations (38.9% saved)

series228.0ms (4.7%)

Memory

5.5MiB live, 240.8MiB allocated; 44ms collecting garbage

Counts

45 → 210

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (/ (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (/ (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
#s(approx (pow cosTheta -2) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (* (log alpha) (PI)) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))

Calls

6 calls:

Time	Variable		Point	Expression
77.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))) (+ (PI) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (/ (+ (* alpha alpha) -1) (* alpha alpha)) (* alpha alpha)) (/ (+ (* alpha alpha) -1) (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)) (pow cosTheta -2) -2 (* cosTheta cosTheta))
48.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))) (+ (PI) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (/ (+ (* alpha alpha) -1) (* alpha alpha)) (* alpha alpha)) (/ (+ (* alpha alpha) -1) (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)) (pow cosTheta -2) -2 (* cosTheta cosTheta))
44.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))) (+ (PI) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (/ (+ (* alpha alpha) -1) (* alpha alpha)) (* alpha alpha)) (/ (+ (* alpha alpha) -1) (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)) (pow cosTheta -2) -2 (* cosTheta cosTheta))
29.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))) (+ (PI) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (/ (+ (* alpha alpha) -1) (* alpha alpha)) (* alpha alpha)) (/ (+ (* alpha alpha) -1) (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)) (pow cosTheta -2) -2 (* cosTheta cosTheta))
10.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))) (+ (PI) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (* (log alpha) 2)) (* (log alpha) 2) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (+ (* alpha alpha) -1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (/ (+ (* alpha alpha) -1) (* alpha alpha)) (* alpha alpha)) (/ (+ (* alpha alpha) -1) (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)) (pow cosTheta -2) -2 (* cosTheta cosTheta))

rewrite232.0ms (4.8%)

Memory

2.2MiB live, 293.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	694	10959
0	763	9827
1	3728	9734
0	9382	9494

Stop Event

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

Counts

255 → 564

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(+.f32 (PI.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 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 alpha)
#s(literal 2 binary32)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.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))))
#s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))
#s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.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 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (.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))))
#s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (*.f32 alpha alpha)))
(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (*.f32 alpha alpha))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 alpha alpha))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
(.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32)))
(pow.f32 cosTheta #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (PI) (* (log alpha) 2)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (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)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
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#s(approx (* (log alpha) 2) #s(hole binary32 (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -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))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 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))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (* (log alpha) (PI)) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))

Outputs
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (log.f32 alpha) (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (log.f32 (pow.f32 alpha (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 alpha (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (neg.f32 (pow.f32 alpha (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (pow.f32 alpha (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 alpha (PI.f32))) (neg.f32 (pow.f32 alpha (PI.f32))))
(.f32 (fabs.f32 (pow.f32 alpha (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 alpha (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (fabs.f32 (pow.f32 alpha (PI.f32))) (fabs.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(.f32 (pow.f32 alpha (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) (pow.f32 alpha (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 alpha (/.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (.f32 alpha alpha) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32))))
(pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (cosh.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)))
(log.f32 (*.f32 (exp.f32 (PI.f32)) (exp.f32 (PI.f32))))
(*.f32 #s(literal 2 binary32) (PI.f32))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (PI.f32) (PI.f32)))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(/.f32 (fma.f32 (-.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32))) #s(literal 2 binary32) (.f32 (-.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 (-.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (fma.f32 (pow.f32 cosTheta #s(literal 6 binary32)) #s(literal -1 binary32) (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32))) #s(literal 2 binary32) (.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) #s(literal 2 binary32))) (.f32 (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32))))) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (-.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32))))) (.f32 #s(literal 2 binary32) (-.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))
(/.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 cosTheta #s(literal 6 binary32)) #s(literal -1 binary32) (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32))))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))
(+.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))
(.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(/.f32 (-.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32))) (-.f32 (neg.f32 (.f32 cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32))))
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#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
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#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (fma.f32 alpha alpha (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) (*.f32 alpha alpha))
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (log (pow alpha (+ (PI) (PI)))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (pow alpha (+ (PI) (PI))) (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
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#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
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eval132.0ms (2.7%)

Memory: 15.2MiB live, 105.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 33 854 to 2 725 computations (92% saved)

prune93.0ms (1.9%)

Memory

4.7MiB live, 103.5MiB allocated; 12ms collecting garbage

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	809	19	828
Fresh	13	17	30
Picked	4	1	5
Done	0	2	2
Total	826	39	865

Accuracy

100.0%

Counts

865 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	94.8%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.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))))
	98.5%	(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
	52.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))))
	52.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
	47.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 #s(approx (+ ( alpha alpha) (pow cosTheta -2)) (.f32 (+.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 alpha alpha))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	54.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))) cosTheta) cosTheta))))
	48.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (- (+ ( alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(approx (log alpha) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 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 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
✓	95.0%	(/.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)) #s(literal 1 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) #s(approx (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	51.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
	96.6%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
	97.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (.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))))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (fma.f32 (.f32 alpha alpha) (neg.f32 (.f32 alpha alpha)) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 alpha alpha) (neg.f32 (.f32 alpha alpha)))) (.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))))
	96.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 alpha alpha)) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 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))))
	97.4%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	95.8%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) alpha) (/.f32 #s(literal 1 binary32) alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))))
	96.8%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(approx (* (- 1 (* (/ 1 alpha) (/ 1 alpha))) (* alpha alpha)) (fma.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 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) #s(literal -1 binary32) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (.f32 alpha alpha)))))
✓	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	94.9%	(-.f32 (/.f32 (.f32 alpha alpha) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	94.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
	95.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (log (pow alpha (PI))) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 alpha (PI.f32)))))
	95.0%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	95.1%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (log.f32 alpha) (PI.f32))))

Compiler

Compiled 4 427 to 1 275 computations (71.2% saved)

regimes113.0ms (2.3%)

Memory

-32.6MiB live, 113.3MiB allocated; 21ms collecting garbage

Counts

85 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

36.0ms	alpha
22.0ms	(/.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))))
20.0ms	cosTheta
20.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f32 alpha alpha)`
98.6%	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))))`
98.6%	1	`cosTheta`
98.6%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes64.0ms (1.3%)

Memory

38.4MiB live, 84.1MiB allocated; 3ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.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:

22.0ms	(/.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))))
13.0ms	(*.f32 alpha alpha)
13.0ms	alpha
13.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f32 alpha alpha)`
98.6%	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))))`
98.6%	1	`cosTheta`
98.6%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes85.0ms (1.7%)

Memory

-32.7MiB live, 61.5MiB allocated; 3ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

29.0ms	(*.f32 alpha alpha)
28.0ms	alpha
13.0ms	(/.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))))
13.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 alpha 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	`cosTheta`
98.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes28.0ms (0.6%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	(/.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))))
7.0ms	alpha
7.0ms	(*.f32 alpha alpha)
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 alpha 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	`cosTheta`
98.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes35.0ms (0.7%)

Memory

-29.6MiB live, 21.7MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

21.0ms	(*.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))))
4.0ms	alpha
4.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha alpha)`
98.4%	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))))`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes18.0ms (0.4%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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))))
4.0ms	alpha
4.0ms	(*.f32 alpha alpha)
4.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.9%	1	`(*.f32 alpha alpha)`
96.9%	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))))`
96.9%	1	`cosTheta`
96.9%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes15.0ms (0.3%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

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))))
4.0ms	(*.f32 alpha alpha)
3.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.8%	1	`cosTheta`
96.8%	1	`(*.f32 alpha alpha)`
96.8%	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))))`
96.8%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes17.0ms (0.3%)

Memory

-35.8MiB live, 10.8MiB allocated; 1ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	cosTheta
3.0ms	(/.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	alpha
3.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
95.1%	1	`(*.f32 alpha alpha)`
95.1%	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))))`
95.1%	1	`cosTheta`
95.1%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 #s(approx (- (* alpha alpha) 1) #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))))

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

Outputs

(/.f32 #s(approx (- (* alpha alpha) 1) #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))))

Calls

4 calls:

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	cosTheta
1.0ms	alpha
1.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
65.4%	1	`(*.f32 alpha alpha)`
65.4%	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))))`
65.4%	1	`cosTheta`
65.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify49.0ms (1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	288
1	115	282
2	283	282
3	1091	264
4	7338	264

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations315.0ms (6.4%)

Memory

-24.3MiB live, 306.7MiB allocated; 34ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 320 to 67 computations (79.1% saved)

preprocess39.0ms (0.8%)

Memory

35.1MiB live, 82.1MiB allocated; 3ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 168 to 420 computations (64% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze75.0ms (1.5%)

sample1.3s (27.2%)

explain168.0ms (3.4%)

preprocess192.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series93.0ms (1.9%)

rewrite177.0ms (3.6%)

eval35.0ms (0.7%)

prune26.0ms (0.5%)

series270.0ms (5.5%)

rewrite261.0ms (5.3%)

eval66.0ms (1.3%)

prune39.0ms (0.8%)

series308.0ms (6.3%)

rewrite228.0ms (4.7%)

eval84.0ms (1.7%)

prune68.0ms (1.4%)

series228.0ms (4.7%)

rewrite232.0ms (4.8%)

eval132.0ms (2.7%)

prune93.0ms (1.9%)

regimes113.0ms (2.3%)

regimes64.0ms (1.3%)

regimes85.0ms (1.7%)

regimes28.0ms (0.6%)

regimes35.0ms (0.7%)

regimes18.0ms (0.4%)

regimes15.0ms (0.3%)

regimes17.0ms (0.3%)

regimes5.0ms (0.1%)

simplify49.0ms (1%)

derivations315.0ms (6.4%)

preprocess39.0ms (0.8%)

end0.0ms (0%)

Profiling