GTR1 distribution

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze73.0ms (2%)

Memory
-34.7MiB live, 68.2MiB allocated; 35ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample902.0ms (25.3%)

Memory
21.6MiB live, 1 592.6MiB allocated; 156ms collecting garbage
Samples
634.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 416.0ms
ival-mult!: 209.0ms (50.2% of total)
ival-log: 104.0ms (25% of total)
ival-div!: 42.0ms (10.1% of total)
ival-sub!: 39.0ms (9.4% of total)
ival-add!: 19.0ms (4.6% of total)
adjust: 1.0ms (0.2% of total)
ival-and: 1.0ms (0.2% of total)
ival-<=: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain134.0ms (3.8%)

Memory
15.9MiB live, 357.7MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-cosTheta
00-0-alpha
00-0-(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
00-0-(*.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)))
00-0-(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
00-0-(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
00-0-(log.f32 (*.f32 alpha alpha))
00-0-(*.f32 alpha alpha)
00-0-(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
00-0-(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-01255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-010
Precision?
0.0
Recall?
0/0
Samples
40.0ms512×0valid
Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult!: 10.0ms (43.7% of total)
ival-log: 7.0ms (30.6% of total)
ival-div!: 2.0ms (8.7% of total)
ival-sub!: 1.0ms (4.4% of total)
ival-add!: 1.0ms (4.4% of total)
adjust: 0.0ms (0% of total)

preprocess30.0ms (0.9%)

Memory
-40.2MiB live, 54.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040146
1170146
2616146
33554144
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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))))
Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 48 to 26 computations (45.8% saved)

series76.0ms (2.1%)

Memory
40.1MiB live, 182.3MiB 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:

TimeVariablePointExpression
27.0ms
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)
18.0ms
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)
10.0ms
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)
5.0ms
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)

rewrite158.0ms (4.4%)

Memory
7.6MiB live, 287.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03052886
03242685
117212664
080982594
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))))

eval23.0ms (0.7%)

Memory
-41.3MiB live, 60.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 744 to 958 computations (87.6% saved)

prune16.0ms (0.5%)

Memory
-0.7MiB live, 46.8MiB allocated; 1ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New20422226
Fresh000
Picked101
Done000
Total20522227
Accuracy
99.9%
Counts
227 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.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))))
97.9%
(/.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))))
79.0%
(/.f32 (-.f32 (+.f32 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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%
(/.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))))))
▶98.7%
(/.f32 (-.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))))))
98.5%
(/.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))))
98.3%
(/.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))))
97.8%
(/.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))))
98.4%
(/.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)))))
▶95.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶98.7%
(/.f32 (-.f32 (*.f32 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)))))
98.6%
(/.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)))))))
98.1%
(/.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))))
98.3%
(/.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))))
66.7%
(/.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))))
98.3%
(-.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))))
98.1%
(*.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)))))
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))))
98.1%
(*.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)))))
94.9%
#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 1 396 to 752 computations (46.1% saved)

series385.0ms (10.8%)

Memory
27.4MiB live, 729.0MiB allocated; 135ms collecting garbage
Counts
37 → 220
Calls
Call 1
Inputs
(/.f32 (-.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))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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)))))
(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))
(PI.f32)
#s(literal 2 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 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(*.f32 cosTheta 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 (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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(/.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 (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))
(+.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 (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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 4 binary32))
#s(literal 4 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)))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha (PI)) 2)))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha (PI)) 2)))) (/ (pow alpha 2) (log (pow (pow alpha (PI)) 2)))) (/ 1 (log (pow (pow alpha (PI)) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha (PI)) 2))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha (PI)) 2))))) (/ (pow alpha 2) (log (pow (pow alpha (PI)) 2)))) (/ 1 (log (pow (pow alpha (PI)) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha (PI)) 2)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha (PI)) 2)))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha (PI)) 2))))) (/ (pow alpha 2) (log (pow (pow alpha (PI)) 2)))) (/ 1 (log (pow (pow alpha (PI)) 2))))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) #s(hole binary32 (log (pow (pow alpha (PI)) 2))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) #s(hole binary32 (+ (log (pow (pow alpha (PI)) 2)) (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1))))))
#s(approx (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1)))))
#s(approx (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#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 (+ 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#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 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha (PI)) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha (PI)) 2))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha (PI)) 2))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha (PI)) 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha (PI)) 2))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha (PI)) 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha (PI)) 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1)))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha (PI)) 2)) (pow cosTheta 2))))))
#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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (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))))))
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#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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 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)))))))
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#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))))))))
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#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 (/ (/ (- (pow alpha 4) 1) (+ (* 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)))))))
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Calls

6 calls:

TimeVariablePointExpression
106.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (PI) 2 (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
91.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (PI) 2 (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
68.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (PI) 2 (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
63.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (PI) 2 (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))
25.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (PI) 2 (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (pow alpha 4) 4 (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))))

rewrite248.0ms (7%)

Memory
16.2MiB live, 258.7MiB allocated; 129ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090314098
097412541
1543712455
0803412290
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
257 → 575
Calls
Call 1
Inputs
(/.f32 (-.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))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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)))))
(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))
(PI.f32)
#s(literal 2 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 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(*.f32 cosTheta 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 (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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(/.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 (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)))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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 (/ (- (* 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 (/ (/ (- (pow alpha 4) 1) (+ (* 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 (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (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)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))))) (pow cosTheta 2))) (pow alpha 6))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.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 (*.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 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 (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 (-.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)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)))
(*.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 (pow.f32 alpha #s(literal 1 binary32)) #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))
(+.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 (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))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 2 binary32))) (-.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) #s(literal 8 binary32) (*.f32 (pow.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32)))) (fma.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))))
(-.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (neg.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))) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.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 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #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) (*.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)))))
(fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (*.f32 cosTheta cosTheta) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (-.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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.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))))
(fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 (PI.f32) (log.f32 (*.f32 alpha 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 (*.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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.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))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(+.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(+.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(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 (*.f32 alpha alpha)) (PI.f32))
(*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(*.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 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32))))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (PI.f32)) (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (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 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32)))
(*.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 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha)) (PI.f32))
(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 (pow.f32 alpha (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (pow.f32 alpha #s(literal 4 binary32)) (/.f32 (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 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))
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#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
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#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))) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#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 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (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 (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 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 (*.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (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 (fma.f32 (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.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 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32))))) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))

eval70.0ms (2%)

Memory
12.3MiB live, 156.9MiB allocated; 13ms collecting garbage
Compiler

Compiled 26 851 to 2 407 computations (91% saved)

prune33.0ms (0.9%)

Memory
-10.1MiB live, 83.5MiB allocated; 4ms collecting garbage
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New72819747
Fresh9817
Picked325
Done000
Total74029769
Accuracy
100.0%
Counts
769 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #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 (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) (*.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))))
97.8%
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (pow.f32 alpha #s(literal 4 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))))
84.5%
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #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))))
97.9%
(/.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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.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))))))
76.7%
(/.f32 (-.f32 (+.f32 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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))))
97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) #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))))))
95.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #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))))
94.9%
(/.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)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓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))))
97.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
98.4%
(/.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)))))
✓95.1%
(/.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))))
▶98.0%
(/.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))))
▶98.5%
(/.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)))))
▶98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
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))))
98.3%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
94.8%
(/.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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.3%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.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))))
66.7%
(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
▶65.0%
(/.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))))
98.3%
(-.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))))
98.1%
(*.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)))))
▶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))))
98.1%
(*.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)))))
94.9%
#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))))
94.5%
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
Compiler

Compiled 1 731 to 1 049 computations (39.4% saved)

series142.0ms (4%)

Memory
-19.6MiB live, 313.8MiB allocated; 22ms collecting garbage
Counts
40 → 252
Calls
Call 1
Inputs
(/.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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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))))
(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)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta 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)))
#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 (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 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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(/.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 (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)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(*.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 alpha #s(literal 1 binary32)) (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(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)))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (log (pow alpha 2))))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (log (pow alpha 2)) (* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#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 (+ 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 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#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 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (/ (* (+ 1 alpha) (- alpha 1)) (log (pow (pow alpha (PI)) 2)))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (log (pow (pow alpha (PI)) 2)))) (/ (* (+ 1 alpha) (- alpha 1)) (log (pow (pow alpha (PI)) 2))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (log (pow (pow alpha (PI)) 2))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (log (pow (pow alpha (PI)) 2))))) (/ (* (+ 1 alpha) (- alpha 1)) (log (pow (pow alpha (PI)) 2))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))) (log (pow (pow alpha (PI)) 2)))) (* -1 (/ (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))) (log (pow (pow alpha (PI)) 2)))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (log (pow (pow alpha (PI)) 2))))) (/ (* (+ 1 alpha) (- alpha 1)) (log (pow (pow alpha (PI)) 2))))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- alpha 1)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ alpha (* -1 (* (pow cosTheta 2) (* (- alpha 1) (- (pow alpha 2) 1))))) 1)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ alpha (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))) (* (- alpha 1) (- (pow alpha 2) 1))))) 1)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ alpha (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))) (* -1 (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))))) (* (- alpha 1) (- (pow alpha 2) 1))))) 1)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #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 (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
#s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow alpha 2)) (- (pow alpha 2) 1)) (/ (log (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #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 (+ 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 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (+ (* -1 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (+ (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (+ (* -1 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (+ (* -1 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (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))))
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#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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 (/ (- (* 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 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (+ (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 4) (pow cosTheta 2)))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (+ (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (/ alpha (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* alpha (+ (/ 1 (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))) (/ 1 (* alpha (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))))
#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))))))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* alpha (pow cosTheta 4))) (/ 1 (pow cosTheta 2)))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4)))) (/ 1 (* alpha (pow cosTheta 2)))) (/ 1 (* alpha (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta 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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
35.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta 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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
32.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta 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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
10.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta 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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
9.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta 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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))

rewrite183.0ms (5.1%)

Memory
35.8MiB live, 271.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093914512
0100813201
1569313149
0803912527
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
292 → 582
Calls
Call 1
Inputs
(/.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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha 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))))
(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)))
(log.f32 (*.f32 alpha alpha))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta 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)))
#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 (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 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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(/.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 (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)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(*.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 alpha #s(literal 1 binary32)) (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(literal 2 binary32)
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#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 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (+ (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 4) (pow cosTheta 2)))))))
#s(approx (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (pow alpha 2))) (+ (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (/ alpha (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* alpha (+ (/ 1 (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))) (/ 1 (* alpha (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))))
#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))))))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* alpha (pow cosTheta 4))) (/ 1 (pow cosTheta 2)))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4)))) (/ 1 (* alpha (pow cosTheta 2)))) (/ 1 (* alpha (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
Outputs
(*.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) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (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) (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)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.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 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.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 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (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 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.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 (/.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)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.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 (/.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.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 #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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.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 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)) #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))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(*.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 (pow.f32 alpha #s(literal 1 binary32)) #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))
(+.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (pow.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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (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) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (PI.f32))
(*.f32 (PI.f32) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 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) (fma.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) (fma.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) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (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))))
(fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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) (fma.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) (fma.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) (fma.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) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #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) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(PI.f32)
(log.f32 (pow.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 (*.f32 alpha alpha)))
(*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))
(fma.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))) (log.f32 (*.f32 alpha alpha)))
(+.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)))
(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))
(*.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (*.f32 #s(literal 1 binary32) (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 (*.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 #s(literal 1 binary32) (log.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
(/.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 (pow.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (fma.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.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))
(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 (pow.f32 cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 1 binary32)))
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
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#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 (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (*.f32 alpha alpha)) #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (*.f32 alpha alpha)) #s(literal -1 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 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (*.f32 cosTheta cosTheta)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (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 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (pow.f32 cosTheta #s(literal 4 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (*.f32 alpha alpha)) #s(literal -1 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 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))) (*.f32 cosTheta cosTheta)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/.f32 alpha (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))) alpha))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal 2 binary32)))
#s(approx (pow alpha (PI)) (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32)))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) alpha)) (pow.f32 cosTheta #s(literal -2 binary32))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) alpha)) (fma.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) alpha) (pow.f32 cosTheta #s(literal -2 binary32)))) alpha)) (pow.f32 cosTheta #s(literal -2 binary32))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1 binary32) alpha) (pow.f32 cosTheta #s(literal -2 binary32)) (neg.f32 (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (pow.f32 cosTheta #s(literal -4 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) alpha))) alpha)) (pow.f32 cosTheta #s(literal -2 binary32))) alpha)) (pow.f32 cosTheta #s(literal -2 binary32))) alpha)))

eval61.0ms (1.7%)

Memory
-0.6MiB live, 142.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 22 831 to 2 260 computations (90.1% saved)

prune35.0ms (1%)

Memory
-15.1MiB live, 83.4MiB allocated; 6ms collecting garbage
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New65917676
Fresh111122
Picked415
Done112
Total67530705
Accuracy
100.0%
Counts
705 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f32 (fma.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))))
98.4%
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
97.6%
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
98.1%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.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))))
▶84.5%
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #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))))
95.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #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))))
✓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))))
▶97.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
98.4%
(/.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)))))
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
97.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
47.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
95.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
98.0%
(/.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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
97.6%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.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))))
98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
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))))
98.0%
(/.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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
97.9%
(/.f32 (*.f32 #s(approx (+ alpha 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (-.f32 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))))
94.8%
(/.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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶65.0%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.7%
(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
✓65.0%
(/.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))))
97.9%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.1%
(*.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)))))
98.0%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
98.0%
(*.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
94.9%
#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))))
94.5%
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
94.8%
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
Compiler

Compiled 1 815 to 1 130 computations (37.7% saved)

series117.0ms (3.3%)

Memory
-19.9MiB live, 263.8MiB allocated; 12ms collecting garbage
Counts
42 → 244
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.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 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(PI.f32)
(*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #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))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
#s(literal 2 binary32)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #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 #s(approx (- (pow alpha 4) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (- (pow alpha 4) 1) #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 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(/.f32 (fma.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 (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)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) #s(hole binary32 (log (pow alpha 2))))
#s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (log (pow alpha 2)) (* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (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) (* (* (* (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 (+ 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) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (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) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#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 (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) #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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) #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 (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
#s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow alpha 2)) (- (pow alpha 2) 1)) (/ (log (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 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 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 (+ 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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #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))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #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) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 4) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))))
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#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))
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#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 (/ (+ (* 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)))))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (+ (* alpha alpha) -1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
26.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (+ (* alpha alpha) -1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
25.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (+ (* alpha alpha) -1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
10.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (+ (* alpha alpha) -1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
10.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (+ (* alpha alpha) -1) cosTheta) (+ (* alpha alpha) -1) -1 cosTheta (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) 2 (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (neg cosTheta) (/ (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 4) 1) (+ (* alpha alpha) 1)) (- (pow alpha 4) 1) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (+ (* alpha alpha) -1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

rewrite214.0ms (6%)

Memory
8.2MiB live, 293.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092414137
099012414
1526712375
0873012219
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
286 → 567
Calls
Call 1
Inputs
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(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(PI.f32)
(*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
(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)) cosTheta)
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
cosTheta
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #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))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
#s(literal 2 binary32)
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha 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)))))))
Outputs
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (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 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (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)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (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 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 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 (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 (-.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 4 binary32)) #s(literal 1 binary32)) (fma.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 (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 alpha 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 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 (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))
(+.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 (exp.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (PI.f32))
(*.f32 (PI.f32) (log.f32 (pow.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)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (*.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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(PI.f32)
(log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.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 (*.f32 alpha alpha)))
(fma.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (*.f32 alpha alpha)) (log.f32 (*.f32 alpha alpha)))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))) (log.f32 (*.f32 alpha alpha)))
(+.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)))
(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))
(*.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha 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))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 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 (fma.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) #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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) #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 (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 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 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 2 binary32))) (-.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)))
(/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32))) (fma.f32 (neg.f32 cosTheta) (neg.f32 cosTheta) (-.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 2 binary32)) (*.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)))))
(-.f32 (neg.f32 cosTheta) (*.f32 (neg.f32 (*.f32 alpha alpha)) cosTheta))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 cosTheta (*.f32 alpha alpha) (neg.f32 cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) cosTheta))
(fma.f32 #s(literal -1 binary32) cosTheta (*.f32 (*.f32 alpha alpha) cosTheta))
(+.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))
(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 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 (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 (-.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 4 binary32)) #s(literal 1 binary32)) (fma.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 (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 alpha 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)))
#s(literal -1 binary32)
cosTheta
(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32)))
(/.f32 (neg.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32)))))
(/.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32))))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 #s(literal 2 binary32) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32))))
(*.f32 #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(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 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
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#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.f32 (fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
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#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.f32 (fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 alpha) (*.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (log.f32 alpha)))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#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))
#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) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 alpha) (PI)) 2) (*.f32 (*.f32 (log.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 (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 alpha) (PI)) 2) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#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))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (/.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))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.f32 (*.f32 (fma.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)))) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 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 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.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)))) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 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 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 3 binary32)))))) #s(literal 1/2 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)))) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 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 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (pow.f32 alpha (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) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (pow alpha 4) 1) #s(literal -1 binary32))
#s(approx (- (pow alpha 4) 1) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) 1) #s(literal 1 binary32))
#s(approx (+ (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 alpha) (PI)) 2) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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 alpha) (PI)) 2) (*.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 (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 alpha) (PI)) 2) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.f32 (*.f32 (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 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 (*.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.f32 (fma.f32 (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 alpha #s(literal -4 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.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 (*.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32))))) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal 4 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #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) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (fma.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))))))))))
#s(approx (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (-.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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 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 (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (*.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 alpha) (PI)) 2) (*.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)))

eval52.0ms (1.5%)

Memory
30.9MiB live, 122.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 20 856 to 2 108 computations (89.9% saved)

prune48.0ms (1.3%)

Memory
-25.9MiB live, 115.3MiB allocated; 11ms collecting garbage
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New55811569
Fresh61723
Picked415
Done112
Total56930599
Accuracy
100.0%
Counts
599 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
97.8%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
98.0%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
98.5%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
97.6%
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
98.1%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.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))))
84.3%
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) #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) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta))))))
98.4%
(/.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)))))
97.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
47.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
95.1%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
98.0%
(/.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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
97.6%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.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))))
98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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))))
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))))
98.0%
(/.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 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
97.9%
(/.f32 (*.f32 #s(approx (+ alpha 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (-.f32 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))))
84.6%
(/.f32 #s(approx (- (pow alpha 4) 1) #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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
94.8%
(/.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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓65.0%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
66.7%
(/.f32 #s(approx (- (* alpha alpha) 1) #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))))
✓65.0%
(/.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))))
97.9%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.1%
(*.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)))))
98.0%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))
98.0%
(*.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
94.5%
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
94.8%
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
95.1%
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
Compiler

Compiled 3 106 to 906 computations (70.8% saved)

regimes78.0ms (2.2%)

Memory
14.2MiB live, 158.6MiB allocated; 13ms collecting garbage
Counts
70 → 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 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 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.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))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.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 #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))) (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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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 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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 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) (-.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 #s(approx (- (pow alpha 4) 1) #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) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(approx (- (pow alpha 4) 1) #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 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 (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 (*.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 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 #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)) (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 #s(approx (- (pow alpha 4) 1) #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 #s(approx (+ alpha 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (-.f32 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 #s(literal 1 binary32)) #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 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 (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 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (fma.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 #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))) #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 (*.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 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) 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 alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.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)) (-.f32 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 #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 #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)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
(-.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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #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 (pow.f32 alpha (PI.f32)) #s(literal 2 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 (/.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 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.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 #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (pow.f32 alpha #s(literal 4 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 (pow.f32 alpha #s(literal 4 binary32)) #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 (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 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.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 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))) alpha)) (/.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 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))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) #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 (-.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)) (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))))))
Calls

4 calls:

20.0ms
(*.f32 alpha alpha)
19.0ms
(/.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))))
19.0ms
cosTheta
16.0ms
alpha
Results
AccuracySegmentsBranch
98.7%1(*.f32 alpha alpha)
98.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%1cosTheta
98.7%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes74.0ms (2.1%)

Memory
16.6MiB live, 155.5MiB allocated; 11ms collecting garbage
Counts
67 → 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 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 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.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))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.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 #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))) (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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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 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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 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) (-.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 #s(approx (- (pow alpha 4) 1) #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) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(approx (- (pow alpha 4) 1) #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 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 (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 (*.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 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 #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)) (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 #s(approx (- (pow alpha 4) 1) #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 #s(approx (+ alpha 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (-.f32 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 #s(literal 1 binary32)) #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 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 (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 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (fma.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 #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))) #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 (*.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 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) 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 alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (pow.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)) (-.f32 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 #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 #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)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 (fma.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))))
(-.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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #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 (pow.f32 alpha (PI.f32)) #s(literal 2 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 (/.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 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.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 #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(approx (- (pow alpha 4) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -4 binary32))) (pow.f32 alpha #s(literal 4 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 (pow.f32 alpha #s(literal 4 binary32)) #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 (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 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.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 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.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 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))) (PI.f32))))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (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:

19.0ms
(/.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))))
19.0ms
alpha
18.0ms
(*.f32 alpha alpha)
15.0ms
cosTheta
Results
AccuracySegmentsBranch
98.7%1(*.f32 alpha alpha)
98.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%1cosTheta
98.7%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes51.0ms (1.4%)

Memory
-0.2MiB live, 109.2MiB allocated; 5ms collecting garbage
Counts
45 → 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 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 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.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))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.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 #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))) (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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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 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 (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 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) (-.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 #s(approx (- (pow alpha 4) 1) #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) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(approx (- (pow alpha 4) 1) #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 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 (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 (*.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 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 #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)) (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 #s(approx (- (pow alpha 4) 1) #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 #s(approx (+ alpha 1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (-.f32 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 #s(literal 1 binary32)) #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 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 (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 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (fma.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 #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))) #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 (*.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 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) 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 alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.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))))
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 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
Calls

4 calls:

16.0ms
alpha
12.0ms
(/.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))))
11.0ms
cosTheta
11.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
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%1cosTheta
98.5%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes23.0ms (0.6%)

Memory
-37.0MiB live, 57.4MiB allocated; 2ms collecting garbage
Counts
19 → 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 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 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.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))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.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 #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))) (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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.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:

6.0ms
(*.f32 alpha alpha)
6.0ms
alpha
5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
cosTheta
Results
AccuracySegmentsBranch
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%1cosTheta
98.5%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes21.0ms (0.6%)

Memory
-0.8MiB live, 49.3MiB allocated; 2ms collecting garbage
Counts
18 → 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 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 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.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))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.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 #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))) (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 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
(/.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))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
Calls

4 calls:

6.0ms
(*.f32 alpha alpha)
5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
alpha
5.0ms
cosTheta
Results
AccuracySegmentsBranch
97.8%1(*.f32 alpha alpha)
97.8%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))))
97.8%1cosTheta
97.8%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.4%)

Memory
35.7MiB live, 35.7MiB 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 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log.f32 (*.f32 alpha alpha)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #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) (* (* (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) (* (PI) (* (log (* alpha alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
Calls

4 calls:

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
(*.f32 alpha alpha)
3.0ms
cosTheta
3.0ms
alpha
Results
AccuracySegmentsBranch
95.1%1(*.f32 alpha alpha)
95.1%1cosTheta
95.1%1alpha
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))))
Compiler

Compiled 29 to 20 computations (31% saved)

regimes6.0ms (0.2%)

Memory
-31.0MiB live, 16.6MiB allocated; 1ms 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 (*.f32 (log.f32 alpha) (PI.f32)) #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:

2.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms
alpha
1.0ms
(*.f32 alpha alpha)
1.0ms
cosTheta
Results
AccuracySegmentsBranch
65.0%1cosTheta
65.0%1(*.f32 alpha alpha)
65.0%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
65.0%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

derivations252.0ms (7.1%)

Memory
-4.8MiB live, 329.5MiB allocated; 11ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 185 to 66 computations (64.3% saved)

preprocess42.0ms (1.2%)

Memory
1.6MiB live, 93.8MiB allocated; 7ms collecting garbage
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 158 to 622 computations (46.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...