GTR1 distribution

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze37.0ms (0.9%)

Memory
2.4MiB live, 48.4MiB allocated; 2ms 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)

sample880.0ms (22.3%)

Memory
42.3MiB live, 1 174.5MiB allocated; 156ms collecting garbage
Samples
650.0ms8 254×0valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-mult!: 253.0ms (55.1% of total)
ival-log: 99.0ms (21.6% of total)
ival-div!: 59.0ms (12.9% of total)
ival-sub!: 25.0ms (5.4% of total)
ival-add!: 20.0ms (4.4% of total)
adjust: 2.0ms (0.4% of total)
ival-and: 1.0ms (0.2% of total)
ival-<=: 1.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain139.0ms (3.5%)

Memory
-11.2MiB live, 184.0MiB 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
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
39.0ms512×0valid
Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult!: 12.0ms (51.8% of total)
ival-log: 6.0ms (25.9% of total)
ival-sub!: 2.0ms (8.6% of total)
ival-div!: 2.0ms (8.6% of total)
ival-add!: 1.0ms (4.3% of total)
adjust: 0.0ms (0% of total)

preprocess31.0ms (0.8%)

Memory
-20.2MiB live, 24.5MiB 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)

series74.0ms (1.9%)

Memory
0.4MiB live, 96.1MiB allocated; 11ms 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
28.0ms
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)
16.0ms
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)
8.0ms
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)
4.0ms
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)

rewrite157.0ms (4%)

Memory
13.0MiB live, 158.1MiB allocated; 22ms 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 (/.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))))))
(/.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)))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (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))
(/.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)))
(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 (/.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))
(/.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)))))))
(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))))

eval19.0ms (0.5%)

Memory
32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 193 to 957 computations (86.7% saved)

prune18.0ms (0.5%)

Memory
-17.8MiB live, 27.9MiB allocated; 3ms collecting garbage
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New18023203
Fresh000
Picked011
Done000
Total18024204
Accuracy
100.0%
Counts
204 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.2%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.0%
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #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)))))
41.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (+.f32 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.f32 (*.f32 alpha alpha)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
▶48.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
▶94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (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)) (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)))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
63.9%
(/.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))))
98.2%
(-.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))))))
98.2%
(*.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))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶1.8%
#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)))))
94.7%
#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))))
1.8%
#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))))
63.9%
#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))))))
Compiler

Compiled 1 446 to 877 computations (39.3% saved)

series360.0ms (9.1%)

Memory
-4.4MiB live, 456.5MiB allocated; 56ms collecting garbage
Counts
33 → 157
Calls
Call 1
Inputs
(/.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 alpha alpha) #s(literal 1 binary32))
(*.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))))
(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)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta 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)))))
(/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(pow.f32 cosTheta #s(literal -2 binary32))
#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 (*.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 (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 (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 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32)))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (* (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1))) (+ (* -1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (pow (- (pow alpha 2) 1) 2)) (pow (log (pow (pow alpha 2) (PI))) 2))) (* 1/720 (/ (* (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))) (* 1/24 (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))))))))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (pow (pow alpha 2) (PI))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI)))))) (* 1/2 (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))))) (pow (pow alpha 2) (PI)))))
#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 (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha (PI)) 2))))))
#s(approx (pow cosTheta -2) #s(hole binary32 (/ 1 (pow cosTheta 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) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha (PI)) 2)))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (log (pow (pow alpha (PI)) 2))))
#s(approx (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (+ (log (pow (pow alpha (PI)) 2)) (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1))))))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (/ (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (/ (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (exp (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 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 alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha (PI)) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #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 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha (PI)) 2)) (- (pow alpha 2) 1)))))
#s(approx (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #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) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) #s(hole binary32 (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (pow alpha 2)))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) #s(hole binary32 (+ (/ 1 (pow cosTheta 2)) (pow alpha 2))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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#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 (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (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 (* (* (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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))))
#s(approx (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (+ (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))) (/ (* (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))))
Calls

6 calls:

TimeVariablePointExpression
102.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (pow cosTheta -2) -2 (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- (* 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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)))
75.0ms
cosTheta
@0
((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (pow cosTheta -2) -2 (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- (* 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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)))
57.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (pow cosTheta -2) -2 (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- (* 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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)))
56.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (pow cosTheta -2) -2 (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- (* 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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)))
32.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (pow cosTheta -2) -2 (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2 (/ (- (* 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) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (pow (pow alpha (PI)) 2))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (+ (* alpha alpha) (pow cosTheta -2)))

rewrite176.0ms (4.5%)

Memory
17.4MiB live, 205.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07918877
08487967
149107844
080887763
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
190 → 480
Calls
Call 1
Inputs
(/.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 alpha alpha) #s(literal 1 binary32))
(*.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))))
(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)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta 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)))))
(/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(pow.f32 cosTheta #s(literal -2 binary32))
#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 (*.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 (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 (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 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))
(fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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)))))))
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Outputs
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (log.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 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 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)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.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 alpha alpha) #s(literal 1 binary32)) (log.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)))
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(expm1.f32 (log.f32 (*.f32 alpha alpha)))
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(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #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)))
(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 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 (/.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 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)))
(*.f32 (log.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)))
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(fma.f32 (pow.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32)) #s(literal 2 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(fma.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(fma.f32 (PI.f32) (pow.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(fma.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
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(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(+.f32 (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))))
(*.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (neg.f32 alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (pow.f32 (neg.f32 alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (fabs.f32 alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (pow.f32 (fabs.f32 alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (pow.f32 alpha (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (pow.f32 alpha (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(*.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)))
(/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (neg.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta)))
(/.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(pow.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))
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(pow.f32 (exp.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))))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 alpha (PI.f32)) (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(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)))
(pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 alpha (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 alpha (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(+.f32 (cosh.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))))) (sinh.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))))))
(exp.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(exp.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 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)))
(/.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 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 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 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 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) (*.f32 (PI.f32) #s(literal 1 binary32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(pow.f32 alpha (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 alpha (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32)))
(pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (sinh.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(PI.f32)
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
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(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32))
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(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 cosTheta cosTheta)
(/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal -2 binary32)))
(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (fabs.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(pow.f32 cosTheta #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
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 (*.f32 alpha alpha) (PI.f32)))))
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(/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1 binary32)))
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#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)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.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 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) 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 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 cosTheta cosTheta)))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (*.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (*.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))) (*.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 (*.f32 alpha alpha) (PI.f32))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.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 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) 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 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 cosTheta cosTheta)))
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#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 (*.f32 alpha alpha) (PI.f32))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))))
#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 #s(literal -1 binary32) (*.f32 alpha alpha)) (fma.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 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal 0 binary32)) (pow.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/96 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 (neg.f32 (*.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (fma.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 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal 0 binary32)) (pow.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/96 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal 0 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 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (pow.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/2880 binary32)))) (*.f32 alpha alpha))) (fma.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 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal 0 binary32)) (pow.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))) #s(literal -1/96 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)) (*.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.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)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal 0 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))) (*.f32 alpha alpha))))
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#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 alpha)) (PI.f32))) #s(literal 2 binary32) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 alpha))))) (*.f32 alpha alpha) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (log.f32 alpha)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 cosTheta #s(literal 6 binary32))))) (*.f32 alpha alpha))) (*.f32 alpha alpha) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (pow (pow alpha (PI)) 2) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.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 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 4 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (+.f32 (/.f32 (pow.f32 alpha #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 4 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 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)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (pow.f32 alpha #s(literal 6 binary32)))) #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))))) (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal -1 binary32) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (pow.f32 cosTheta #s(literal 4 binary32)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (*.f32 cosTheta cosTheta) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (neg.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 (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (* (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (* cosTheta cosTheta)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (pow.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (*.f32 alpha alpha))
#s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal -2 binary32)) (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) (pow cosTheta -2)) (*.f32 (+.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal -2 binary32)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
#s(approx (pow (pow alpha (PI)) 2) (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))
#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 (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))) (+ 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) (* (* (PI) (log (* alpha alpha))) (+ 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 (/ (pow cosTheta -2) (log (pow (pow alpha (PI)) 2))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))))
#s(approx (log (pow (pow alpha (PI)) 2)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))
#s(approx (pow (pow alpha (PI)) 2) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) #s(literal 2 binary32)))
#s(approx (pow alpha (PI)) (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#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 (log (pow (pow alpha (PI)) 2)) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))
#s(approx (log (* alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (-.f32 (+.f32 (/.f32 (pow.f32 alpha #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 (pow.f32 alpha #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (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 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 8 binary32)))) #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))) (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 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 6 binary32)))) #s(literal -1 binary32) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (pow.f32 cosTheta #s(literal 4 binary32)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)))

eval79.0ms (2%)

Memory
4.0MiB live, 107.2MiB allocated; 34ms collecting garbage
Compiler

Compiled 23 748 to 2 401 computations (89.9% saved)

prune31.0ms (0.8%)

Memory
10.6MiB live, 57.5MiB allocated; 2ms collecting garbage
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New60523628
Fresh11718
Picked505
Done011
Total62131652
Accuracy
100.0%
Counts
652 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
94.4%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
94.7%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
94.4%
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
77.8%
(/.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))))
▶98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #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 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
94.6%
(/.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))))
94.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) (pow.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))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
48.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 #s(approx (+ (* alpha alpha) (pow cosTheta -2)) (/.f32 (+.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
44.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
98.6%
(/.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)))))
▶97.4%
(/.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) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶98.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
▶94.6%
(/.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))))
94.8%
(/.f32 (expm1.f32 (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
94.3%
(/.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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
64.0%
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))))
▶62.2%
(/.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))))
94.7%
(-.f32 (/.f32 (*.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
94.7%
#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))))
63.9%
#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))))))
63.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
97.8%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (*.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal -2 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 alpha alpha)))
Compiler

Compiled 1 976 to 1 215 computations (38.5% saved)

series224.0ms (5.7%)

Memory
-27.4MiB live, 299.3MiB allocated; 29ms collecting garbage
Counts
36 → 218
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (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)
(log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(PI.f32)
(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)))
(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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #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)) cosTheta) cosTheta #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(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)
Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (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) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (pow (pow alpha 2) (PI))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (PI)))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (PI) (* (pow cosTheta 2) (* (PI) (- (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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 (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (* (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1))) (+ (* -1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (pow (- (pow alpha 2) 1) 2)) (pow (log (pow (pow alpha 2) (PI))) 2))) (* 1/720 (/ (* (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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)))))))
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#s(approx (/ (* (+ alpha 1) (- 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 1) (- 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 1) (- 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 1) (- alpha 1)) #s(hole binary32 (pow alpha 2)))
#s(approx (* (+ alpha 1) (- alpha 1)) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (+ alpha 1) #s(hole binary32 alpha))
#s(approx (+ alpha 1) #s(hole binary32 (* alpha (+ 1 (/ 1 alpha)))))
#s(approx (- alpha 1) #s(hole binary32 alpha))
#s(approx (- alpha 1) #s(hole binary32 (* alpha (- 1 (/ 1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (/ (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (* (pow alpha 2) (- (/ 1 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))) (/ 1 (* (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (exp (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (+ (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))) (/ (* (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #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) #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 (log (pow (pow alpha (PI)) 2)) #s(hole binary32 (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))
#s(approx (pow (pow alpha (PI)) 2) #s(hole binary32 (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* -1 (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (* (+ alpha 1) (- 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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#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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)))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
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#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
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#s(approx (log (pow (pow alpha (PI)) 2)) #s(hole binary32 (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))
#s(approx (pow (pow alpha (PI)) 2) #s(hole binary32 (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
Calls

6 calls:

TimeVariablePointExpression
70.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI) (+ (* (* 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))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2)
43.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI) (+ (* (* 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))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2)
39.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI) (+ (* (* 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))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2)
23.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI) (+ (* (* 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))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2)
22.0ms
cosTheta
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI) (+ (* (* 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))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 2)

rewrite194.0ms (4.9%)

Memory
11.5MiB live, 290.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104413970
0110412350
1654612320
0809711728
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
254 → 466
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (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)
(log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(PI.f32)
(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))
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(*.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))
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(log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32))))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
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(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (+ (* (pow cosTheta 2) (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))) (/ (* (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) #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) #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 (log (pow (pow alpha (PI)) 2)) #s(hole binary32 (log (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2))))
#s(approx (pow (pow alpha (PI)) 2) #s(hole binary32 (pow (exp (* -1 (* (PI) (log (/ 1 alpha))))) 2)))
#s(approx (pow alpha (PI)) #s(hole binary32 (exp (* -1 (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (* (+ alpha 1) (- 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 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* 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))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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)))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))
#s(approx (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #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 (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) #s(hole binary32 (- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)))))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))))))
#s(approx (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2))) #s(hole binary32 (* (pow alpha 2) (+ (* (pow cosTheta 2) (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2))) (/ (* (log (pow (exp (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) 2)) (+ 1 (* -1 (pow cosTheta 2)))) (pow 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))))))))
Outputs
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(-.f32 (/.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(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 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 (*.f32 alpha alpha) #s(literal 3 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)))))
(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 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 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (PI.f32))
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) (log.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 (*.f32 alpha alpha) (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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(fma.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 alpha (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)))) (log.f32 (pow.f32 alpha (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))))))
(+.f32 (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32))) (pow.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32))) (pow.f32 alpha (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)))) (pow.f32 (*.f32 alpha alpha) (PI.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)))))
(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)))
(pow.f32 (*.f32 alpha alpha) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)))
(+.f32 (cosh.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)))) (sinh.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32)))))
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#s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32))
#s(approx (* (+ alpha 1) (- alpha 1)) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (+ alpha 1) #s(literal 1 binary32))
#s(approx (+ alpha 1) (+.f32 #s(literal 1 binary32) alpha))
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#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (-.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 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (*.f32 cosTheta cosTheta))) #s(literal -1 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 (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 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))) (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 alpha cosTheta) #s(literal 2 binary32)))))))) (*.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 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (exp.f32 #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (-.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)))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.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(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 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 (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))))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.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))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 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)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (-.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 8 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(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))))) (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 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 (pow.f32 alpha #s(literal -2 binary32)) (*.f32 (*.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(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (*.f32 (pow.f32 (*.f32 alpha 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 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (*.f32 (fma.f32 (*.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 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 (*.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 alpha alpha)))
#s(approx (log (pow (pow alpha (PI)) 2)) (*.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)))))

eval86.0ms (2.2%)

Memory
15.6MiB live, 126.9MiB allocated; 80ms collecting garbage
Compiler

Compiled 18 533 to 1 963 computations (89.4% saved)

prune33.0ms (0.8%)

Memory
-4.2MiB live, 88.2MiB allocated; 6ms collecting garbage
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New44517462
Fresh111425
Picked415
Done011
Total46033493
Accuracy
100.0%
Counts
493 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
98.5%
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
▶98.4%
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
94.4%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
94.7%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
62.3%
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
▶94.4%
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
97.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #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 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
94.6%
(/.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))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
48.0%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 #s(approx (+ (* alpha alpha) (pow cosTheta -2)) (/.f32 (+.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
44.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
▶98.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
94.5%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (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))))
▶94.8%
(/.f32 (expm1.f32 (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
64.0%
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))))
▶62.2%
(/.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))))
✓62.2%
(/.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))))
94.7%
(-.f32 (/.f32 (*.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
94.4%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.2%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
94.4%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
94.7%
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
63.9%
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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))))))
63.9%
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
97.8%
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (*.f32 (-.f32 (/.f32 (/.f32 (/.f32 #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 (pow.f32 alpha #s(literal -2 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 alpha alpha)))
94.7%
#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 2 078 to 1 321 computations (36.4% saved)

series124.0ms (3.1%)

Memory
-10.0MiB live, 326.0MiB allocated; 17ms collecting garbage
Counts
35 → 220
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32)))))
(pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32)))
(fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(PI.f32)
(*.f32 cosTheta cosTheta)
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 (expm1.f32 (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(expm1.f32 (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.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 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (*.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 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (/ (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) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (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) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1)))) (log (pow (pow alpha 2) (PI))))) (+ (* -1/24 (/ (* (PI) (* (log (pow alpha 2)) (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/720 (/ (* (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 3))) (pow (log (pow (pow alpha 2) (PI))) 3))) (* 1/24 (/ (* (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))))) (/ (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))) (pow (log (pow (pow alpha 2) (PI))) 2)))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 120 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))) (* 240 (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))) (* 12 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (pow (- (pow alpha 2) 1) 2)))))))))))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (pow (pow alpha 2) (PI))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))) (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (PI) 3) (* (pow (log (pow alpha 2)) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI))))))) (* 1/2 (* (pow (PI) 2) (* (pow (log (pow alpha 2)) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))))))) (pow (pow alpha 2) (PI)))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (PI)))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) #s(hole binary32 (PI)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) #s(hole binary32 (+ (PI) (* (pow cosTheta 2) (* (PI) (- (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) (* (* (* (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 (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ (/ (+ (* 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 (+ (* (* 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 (/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))))
#s(approx (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (exp (* (PI) (* (log (pow alpha 2)) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))))
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#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
alpha
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (* (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) -1 (PI) (* cosTheta cosTheta) 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)) (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (exp (log (* alpha alpha))) 1) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1 (pow (- (* alpha alpha) 1) -1)) (pow (- (* alpha alpha) 1) -1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))
26.0ms
alpha
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (* (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) -1 (PI) (* cosTheta cosTheta) 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)) (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (exp (log (* alpha alpha))) 1) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1 (pow (- (* alpha alpha) 1) -1)) (pow (- (* alpha alpha) 1) -1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))
20.0ms
alpha
@0
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (* (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) -1 (PI) (* cosTheta cosTheta) 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)) (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (exp (log (* alpha alpha))) 1) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1 (pow (- (* alpha alpha) 1) -1)) (pow (- (* alpha alpha) 1) -1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))
14.0ms
cosTheta
@inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (* (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) -1 (PI) (* cosTheta cosTheta) 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)) (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (exp (log (* alpha alpha))) 1) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1 (pow (- (* alpha alpha) 1) -1)) (pow (- (* alpha alpha) 1) -1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))
13.0ms
cosTheta
@-inf
((/ (- (* alpha alpha) 1) (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (* (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) -1 (PI) (* cosTheta cosTheta) 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)) (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (exp (log (* alpha alpha))) 1) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1 (pow (- (* alpha alpha) 1) -1)) (pow (- (* alpha alpha) 1) -1) (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))

rewrite195.0ms (5%)

Memory
34.4MiB live, 266.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093013283
099111526
1527011470
0813111337
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
255 → 457
Calls
Call 1
Inputs
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(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
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(pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))
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cosTheta
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
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#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ 1 (pow (- (* alpha alpha) 1) -1)) #s(hole binary32 (pow alpha 2)))
#s(approx (/ 1 (pow (- (* alpha alpha) 1) -1)) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (pow (- (* alpha alpha) 1) -1) #s(hole binary32 (/ 1 (pow alpha 2))))
#s(approx (pow (- (* alpha alpha) 1) -1) #s(hole binary32 (/ (+ 1 (/ 1 (pow alpha 2))) (pow alpha 2))))
#s(approx (pow (- (* alpha alpha) 1) -1) #s(hole binary32 (/ (+ 1 (+ (/ 1 (pow alpha 2)) (/ 1 (pow alpha 4)))) (pow alpha 2))))
#s(approx (pow (- (* alpha alpha) 1) -1) #s(hole binary32 (/ (+ 1 (+ (/ 1 (pow alpha 2)) (+ (/ 1 (pow alpha 4)) (/ 1 (pow alpha 6))))) (pow alpha 2))))
#s(approx (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
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#s(approx (/ (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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 (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (PI)) #s(hole binary32 (/ (pow alpha 2) (PI))))
#s(approx (/ (+ (* alpha alpha) -1) (PI)) #s(hole binary32 (* (pow alpha 2) (- (/ 1 (PI)) (/ 1 (* (pow alpha 2) (PI)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #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) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (* (log alpha) (PI)) 2) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (* (log alpha) (PI)) 2) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#s(approx (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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) (PI)) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
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#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))
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Outputs
(-.f32 (/.f32 (*.f32 alpha alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32)))))))
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(expm1.f32 (log.f32 (*.f32 alpha alpha)))
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(/.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)))))
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(exp.f32 (log.f32 (*.f32 alpha alpha)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32)))))
(*.f32 #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (*.f32 alpha alpha)))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) #s(literal 2 binary32)))) (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 alpha #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))) (log.f32 (pow.f32 alpha #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
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#s(approx cosTheta cosTheta)
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#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))) (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))) #s(literal -1/2 binary32))) (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))) (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (pow.f32 alpha (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal -1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.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)) (fma.f32 alpha alpha #s(literal -1 binary32))))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal -1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal -1 binary32) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.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 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta)))))
#s(approx (pow (* alpha alpha) (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta)))))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta))
#s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta))
#s(approx (+ (* (* (+ (* alpha alpha) -1) (PI)) (* cosTheta cosTheta)) (PI)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -4 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 alpha alpha #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)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (*.f32 cosTheta cosTheta) (fma.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 (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.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 cosTheta cosTheta)))
#s(approx (/ (- (exp (log (* 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 (*.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 cosTheta cosTheta)))
#s(approx (/ (- (exp (log (* 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 (*.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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.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 cosTheta cosTheta)))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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 cosTheta cosTheta)))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.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)))
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#s(approx (/ (- (exp (log (* 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 (/ (- (exp (log (* 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 (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 (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 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 (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 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 (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (*.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 alpha alpha)))

eval63.0ms (1.6%)

Memory
-16.4MiB live, 133.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 22 318 to 2 044 computations (90.8% saved)

prune45.0ms (1.2%)

Memory
0.8MiB live, 97.5MiB allocated; 10ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New50017517
Fresh101626
Picked235
Done112
Total51337550
Accuracy
100.0%
Counts
550 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
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))))
97.3%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
98.6%
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
94.3%
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
41.4%
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (+.f32 (cosh.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32)))) (sinh.f32 (log.f32 (*.f32 alpha alpha)))))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
✓98.4%
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
94.7%
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
62.3%
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
94.5%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
77.4%
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
94.6%
(/.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))))
44.2%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
98.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta (PI.f32))))))
97.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
94.5%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (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))))
✓94.8%
(/.f32 (expm1.f32 (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
63.9%
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
64.0%
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))))
✓62.2%
(/.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))))
62.3%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓62.2%
(/.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))))
62.3%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
94.7%
(-.f32 (/.f32 (*.f32 alpha alpha) (*.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 #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)))))
94.4%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.2%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
94.4%
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
94.7%
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
63.9%
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
63.9%
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
94.8%
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
Compiler

Compiled 3 765 to 1 123 computations (70.2% saved)

regimes95.0ms (2.4%)

Memory
0.7MiB live, 183.9MiB allocated; 23ms collecting garbage
Counts
81 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #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) #s(approx (- (* alpha alpha) 1) #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))) (+.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) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #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 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.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)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.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 #s(literal 1 binary32) (*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.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 #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 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (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 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) #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 (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 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 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 alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (pow.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (-.f32 (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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.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 alpha alpha) #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 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (+.f32 (cosh.f32 (log.f32 (pow.f32 alpha #s(literal -2 binary32)))) (sinh.f32 (log.f32 (*.f32 alpha alpha)))))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 #s(approx (+ (* alpha alpha) (pow cosTheta -2)) (/.f32 (+.f32 (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (+.f32 (cosh.f32 (log.f32 (*.f32 alpha alpha))) (sinh.f32 (log.f32 (*.f32 alpha alpha)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 (/.f32 alpha (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))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (*.f32 (-.f32 (/.f32 (/.f32 (/.f32 #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 (pow.f32 alpha #s(literal -2 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 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (*.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal -2 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 alpha alpha)))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta (PI.f32))))))
Calls

4 calls:

27.0ms
(*.f32 alpha alpha)
21.0ms
alpha
21.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
20.0ms
cosTheta
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)

regimes58.0ms (1.5%)

Memory
-13.9MiB live, 122.3MiB allocated; 10ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #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) #s(approx (- (* alpha alpha) 1) #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))) (+.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) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #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 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.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))))
Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 cosTheta cosTheta) (PI.f32))))))
Calls

4 calls:

15.0ms
alpha
14.0ms
(/.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))))
12.0ms
(*.f32 alpha alpha)
12.0ms
cosTheta
Results
AccuracySegmentsBranch
98.6%1(*.f32 alpha alpha)
98.6%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.6%1cosTheta
98.6%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes58.0ms (1.5%)

Memory
18.4MiB live, 112.6MiB allocated; 12ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #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) #s(approx (- (* alpha alpha) 1) #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))) (+.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) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #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 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
Outputs
(/.f32 (/.f32 (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))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
Calls

4 calls:

20.0ms
alpha
13.0ms
(*.f32 alpha alpha)
11.0ms
(/.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
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%1alpha
98.5%1cosTheta
Compiler

Compiled 29 to 20 computations (31% saved)

regimes54.0ms (1.4%)

Memory
34.6MiB live, 121.6MiB allocated; 11ms collecting garbage
Counts
47 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #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) #s(approx (- (* alpha alpha) 1) #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))) (+.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) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #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 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (/.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)))
Outputs
(/.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)))
Calls

4 calls:

16.0ms
(/.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))))
14.0ms
alpha
11.0ms
(*.f32 alpha alpha)
11.0ms
cosTheta
Results
AccuracySegmentsBranch
98.4%1(*.f32 alpha alpha)
98.4%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.4%1cosTheta
98.4%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes71.0ms (1.8%)

Memory
-27.3MiB live, 113.6MiB allocated; 36ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #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) #s(approx (- (* alpha alpha) 1) #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))) (+.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) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #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 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 #s(approx (- (+ (* alpha alpha) (pow cosTheta -2)) 1) (pow.f32 cosTheta #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))))
Outputs
(/.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) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
Calls

4 calls:

33.0ms
alpha
13.0ms
cosTheta
12.0ms
(*.f32 alpha alpha)
11.0ms
(/.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))))
Results
AccuracySegmentsBranch
97.4%1(*.f32 alpha alpha)
97.4%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.4%1cosTheta
97.4%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes43.0ms (1.1%)

Memory
2.8MiB live, 100.1MiB allocated; 5ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #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 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 #s(approx (* (+ (* alpha alpha) -1) (PI)) (neg.f32 (PI.f32))) (*.f32 cosTheta cosTheta) (PI.f32))))))
Calls

4 calls:

13.0ms
(*.f32 alpha alpha)
10.0ms
alpha
9.0ms
(/.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))))
9.0ms
cosTheta
Results
AccuracySegmentsBranch
97.4%1(*.f32 alpha alpha)
97.4%1cosTheta
97.4%1alpha
97.4%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Compiler

Compiled 29 to 20 computations (31% saved)

regimes39.0ms (1%)

Memory
3.7MiB live, 93.0MiB allocated; 6ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) #s(approx (* (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (PI.f32)))))
#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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.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 (/ (/ 1 (pow (- (* alpha alpha) 1) -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))))))
(/.f32 (expm1.f32 (log.f32 (*.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 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (log (* alpha alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (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))) #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 #s(literal 1 binary32) (pow.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (- (* alpha alpha) 1) -1) (-.f32 (neg.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #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) #s(approx (log (* alpha alpha)) (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))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
Calls

4 calls:

13.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
9.0ms
cosTheta
8.0ms
(*.f32 alpha alpha)
8.0ms
alpha
Results
AccuracySegmentsBranch
94.9%1cosTheta
94.9%1(*.f32 alpha alpha)
94.9%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.9%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes17.0ms (0.4%)

Memory
5.1MiB live, 52.2MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
Calls

4 calls:

4.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
4.0ms
cosTheta
4.0ms
alpha
4.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
94.8%1(*.f32 alpha alpha)
94.8%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))))
94.8%1alpha
94.8%1cosTheta
Compiler

Compiled 29 to 20 computations (31% saved)

regimes35.0ms (0.9%)

Memory
-14.8MiB live, 36.6MiB allocated; 4ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (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) (* (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (log (pow (pow alpha (PI)) 2)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (/ 1 (pow (- (* alpha alpha) 1) -1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
Outputs
#s(approx (/ (- (exp (log (* alpha alpha))) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
Calls

4 calls:

24.0ms
(*.f32 alpha alpha)
3.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms
alpha
3.0ms
cosTheta
Results
AccuracySegmentsBranch
94.8%1(*.f32 alpha alpha)
94.8%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))))
94.8%1cosTheta
94.8%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes9.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#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)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (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 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32)) #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))))
(/.f32 (/.f32 #s(approx (* (+ alpha 1) (- alpha 1)) #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
Outputs
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #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))))
2.0ms
alpha
2.0ms
cosTheta
2.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
62.3%1(*.f32 alpha alpha)
62.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
62.3%1alpha
62.3%1cosTheta
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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)))))
Outputs
#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)))))
Calls

4 calls:

1.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms
(*.f32 alpha alpha)
1.0ms
alpha
1.0ms
cosTheta
Results
AccuracySegmentsBranch
1.8%1(*.f32 alpha alpha)
1.8%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))))
1.8%1alpha
1.8%1cosTheta
Compiler

Compiled 29 to 20 computations (31% saved)

derivations402.0ms (10.2%)

Memory
5.7MiB live, 389.7MiB allocated; 25ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 340 to 87 computations (74.4% saved)

preprocess87.0ms (2.2%)

Memory
-12.7MiB live, 219.0MiB allocated; 14ms collecting garbage
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 2 088 to 1 072 computations (48.7% saved)

end0.0ms (0%)

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

Profiling

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