Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 4.0s)

start0.0ms (0%)

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

analyze228.0ms (5.7%)

Memory
31.6MiB live, 228.0MiB allocated; 35ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.2s (29.4%)

Memory
41.6MiB live, 1 486.1MiB allocated; 198ms collecting garbage
Samples
878.0ms8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 595.0ms
const: 153.0ms (25.7% of total)
ival-mult: 106.0ms (17.8% of total)
ival-cos: 95.0ms (16% of total)
ival-div: 80.0ms (13.5% of total)
ival-sub: 71.0ms (11.9% of total)
ival-sqrt: 65.0ms (10.9% of total)
exact: 8.0ms (1.3% of total)
ival-and: 6.0ms (1% of total)
ival-<=: 5.0ms (0.8% of total)
adjust: 2.0ms (0.3% of total)
ival-assert: 2.0ms (0.3% of total)
ival->: 2.0ms (0.3% of total)
Bogosity

explain117.0ms (2.9%)

Memory
-11.4MiB live, 225.7MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
11(0.9999700784683228 8.761815450952781e-8 0.25131356716156006)0-(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f32(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))sensitivity20
Confusion
Predicted +Predicted -
+10
-1254
Precision
0.5
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-10254
Precision?
0.5
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 7.0ms (22.1% of total)
ival-mult: 6.0ms (18.9% of total)
ival-cos: 6.0ms (18.9% of total)
ival-div: 5.0ms (15.8% of total)
ival-sub: 3.0ms (9.5% of total)
ival-sqrt: 3.0ms (9.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess233.0ms (5.8%)

Memory
-17.7MiB live, 179.1MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036117
179117
2141117
3225115
4380113
5915113
66416113
01011
01611
12711
24311
36511
411511
536811
6284711
7797611
0829811
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 11 to 11 computations (0% saved)

series11.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
10 → 49
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
2.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2)

rewrite102.0ms (2.6%)

Memory
-40.2MiB live, 152.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481259
02561150
015301111
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
59 → 68
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
Outputs
(*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) u1)) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))
#s(approx u1 u1)
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 #s(literal 5/16 binary32) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

eval6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 545 to 310 computations (79.9% saved)

prune12.0ms (0.3%)

Memory
25.8MiB live, 25.8MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New551570
Fresh000
Picked011
Done000
Total551671
Accuracy
99.7%
Counts
71 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 729 to 531 computations (27.2% saved)

series54.0ms (1.3%)

Memory
-4.9MiB live, 90.6MiB allocated; 6ms collecting garbage
Counts
32 → 178
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt (/ 1 u1))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt (/ 1 u1)))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1))))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
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#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
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#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* 98696044010906577398881/16000000000000000000000 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (sqrt -1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/36000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/30000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (sqrt -1)))))) u1)) (+ (* 98696044010906577398881/10000000000000000000000 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt -1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1))))))))
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#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/30000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (sqrt -1))) u1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/30000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (sqrt -1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/36000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (sqrt -1)))) u1)) (* 961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1))))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1)))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt -1)) (* -9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1)))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (/ (sqrt -1) u1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (sqrt -1))) u1))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt -1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (/ (sqrt -1) u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* 296088132032719732196643/40000000000000000000000 (/ (sqrt -1) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
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#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
9.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
7.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
7.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))))
6.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)) u2 314159265359/50000000000 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))))

rewrite311.0ms (7.8%)

Memory
40.8MiB live, 337.6MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010189638
010648713
172518713
086508334
Stop Event
iter limit
node limit
iter limit
Counts
210 → 294
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))))
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#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
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#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -98696044010906577398881/10000000000000000000000 (/ (sqrt -1) u1)))))
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#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* -98696044010906577398881/16000000000000000000000 (/ (sqrt -1) u1))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
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#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 6)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 6)))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(cos.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (-.f32 (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (neg.f32 (PI.f32)) #s(literal -2 binary32))
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
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#s(approx u1 u1)
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#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/22500000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/30000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/36000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))) u1)))) u1)))) u1)))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -98696044010906577398881/10000000000000000000000 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 296088132032719732196643/40000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -98696044010906577398881/16000000000000000000000 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (*.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32))))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (fma.f32 (pow.f32 u2 #s(literal -6 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32)))))) (pow.f32 u2 #s(literal 6 binary32))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32))))) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (*.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval132.0ms (3.3%)

Memory
-70.3MiB live, 74.8MiB allocated; 123ms collecting garbage
Compiler

Compiled 32 356 to 2 297 computations (92.9% saved)

prune38.0ms (0.9%)

Memory
15.3MiB live, 62.7MiB allocated; 2ms collecting garbage
Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New58127608
Fresh2810
Picked145
Done011
Total58440624
Accuracy
99.8%
Counts
624 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
72.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
77.1%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
92.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
87.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
77.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
75.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
74.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
77.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
74.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
57.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (fma.f32 (pow.f32 u2 #s(literal -6 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32)))))) (pow.f32 u2 #s(literal 6 binary32)))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 2 436 to 1 599 computations (34.4% saved)

series23.0ms (0.6%)

Memory
-22.5MiB live, 24.4MiB allocated; 2ms collecting garbage
Counts
35 → 164
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 1))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ 1 u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ (+ 1 (* -1 u1)) u1)))
#s(approx (/ 1 u1) #s(hole binary32 (/ 1 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 1))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* -1/2 u1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* -1/8 u1) 1/2)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 -1))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (sqrt -1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* (sqrt u1) (sqrt -1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3/8 (sqrt -1))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* 98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1)))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 3/8 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (* (pow u2 2) (sqrt -1)))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* (sqrt u1) (sqrt -1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (neg (* 314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
3.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
3.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
2.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 u2 (/ (PI) 2) (PI) 2 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (* u2 u2) -98696044010906577398881/5000000000000000000000 (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))

rewrite167.0ms (4.2%)

Memory
35.2MiB live, 131.1MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07825880
08245186
048354943
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
199 → 267
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 1))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ 1 u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ (+ 1 (* -1 u1)) u1)))
#s(approx (/ 1 u1) #s(hole binary32 (/ 1 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 1))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* -1/2 u1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* -1/8 u1) 1/2)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 -1))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (sqrt -1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* (sqrt u1) (sqrt -1))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3/8 (sqrt -1))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* 98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1)))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 3/8 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (* (pow u2 2) (sqrt -1)))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* (sqrt u1) (sqrt -1)))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))))
#s(approx (sqrt (- 1 u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (neg (* 314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* 314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* 314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))) (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))))))))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (+ (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* u2 (+ 314159265359/50000000000 (* 1/2 (/ (PI) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2))))))
#s(approx (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* -314159265359/50000000000 u2)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (- (* -1/2 (/ (PI) u2)) 314159265359/50000000000)))))
Outputs
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (-.f32 (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))
(neg.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (neg.f32 (PI.f32)) #s(literal -2 binary32))
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(pow.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(*.f32 u1 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 u1))
(/.f32 #s(literal 1 binary32) u1)
(pow.f32 u1 #s(literal -1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
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#s(approx (/ u1 (- 1 u1)) u1)
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#s(approx u1 u1)
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#s(approx (sqrt u1) (sqrt.f32 u1))
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#s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1))
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#s(approx (/ 1 u1) (/.f32 #s(literal 1 binary32) u1))
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#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (- 1 u1)) #s(literal 1 binary32))
#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
#s(approx (sqrt (- 1 u1)) (fma.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))
#s(approx (sqrt (- 1 u1)) (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) u1) #s(literal 1/8 binary32)) u1) #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) u1 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))))
#s(approx (* (- (/ 1 u1) 1) u1) (neg.f32 u1))
#s(approx (* (- (/ 1 u1) 1) u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (- (/ 1 u1) 1) #s(literal -1 binary32))
#s(approx (- (/ 1 u1) 1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (fma.f32 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 u2 u2) u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (+.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (fma.f32 (/.f32 (*.f32 u2 u2) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 u2 u2) u1) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (- 1 u1)) (sqrt.f32 (neg.f32 u1)))
#s(approx (sqrt (- 1 u1)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u1))
#s(approx (sqrt (- 1 u1)) (*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -5 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) u1))
#s(approx (sqrt (- 1 u1)) (*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -5 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -3 binary32)) (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -5 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) #s(literal -1/2 binary32))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 #s(literal 5/16 binary32) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1))) u1))))
#s(approx (sqrt u1) (neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 u1))))
#s(approx (* (- (/ 1 u1) 1) u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 98696044010906577398881/16000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))) u1) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 (*.f32 #s(literal 3/8 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- 1 u1)) (neg.f32 (sqrt.f32 (neg.f32 u1))))
#s(approx (sqrt (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
#s(approx (sqrt (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -5 binary32)) #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
#s(approx (sqrt (- 1 u1)) (*.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -5 binary32)) #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -7 binary32)) #s(literal -1 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (*.f32 (pow.f32 u1 #s(literal -3 binary32)) #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal -1/2 binary32))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))) u1))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (neg (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (*.f32 (fma.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))

eval27.0ms (0.7%)

Memory
-9.8MiB live, 36.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 10 920 to 1 291 computations (88.2% saved)

prune35.0ms (0.9%)

Memory
4.9MiB live, 52.0MiB allocated; 2ms collecting garbage
Pruning

43 alts after pruning (35 fresh and 8 done)

PrunedKeptTotal
New30810318
Fresh52530
Picked235
Done055
Total31543358
Accuracy
99.9%
Counts
358 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
77.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
72.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
76.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
77.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
92.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
87.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
87.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
87.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
86.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
77.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
75.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
74.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
77.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
74.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
57.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (fma.f32 (pow.f32 u2 #s(literal -6 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32)))))) (pow.f32 u2 #s(literal 6 binary32)))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 2 462 to 1 671 computations (32.1% saved)

series23.0ms (0.6%)

Memory
-27.2MiB live, 22.6MiB allocated; 5ms collecting garbage
Counts
43 → 133
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 u1))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ 1 u1) #s(hole binary32 1))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 1))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ 1 u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ (+ 1 (* -1 u1)) u1)))
#s(approx (/ 1 u1) #s(hole binary32 (/ 1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (+ 1 u1) #s(hole binary32 u1))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (sqrt -1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 -1))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3/8 (sqrt -1))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* 98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1)))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 3/8 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (* (pow u2 2) (sqrt -1)))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 1))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (neg (* 314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
u2
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) -314159265359/50000000000 u2 (* 1/2 (PI)) 1/2 (PI) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (/ (PI) 2) 2)
2.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) -314159265359/50000000000 u2 (* 1/2 (PI)) 1/2 (PI) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (/ (PI) 2) 2)
2.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) -314159265359/50000000000 u2 (* 1/2 (PI)) 1/2 (PI) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (/ (PI) 2) 2)
2.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) -314159265359/50000000000 u2 (* 1/2 (PI)) 1/2 (PI) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (/ (PI) 2) 2)
2.0ms
u1
@inf
((* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) u1 (- 1 u1) 1 (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) -314159265359/50000000000 u2 (* 1/2 (PI)) 1/2 (PI) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (+ 1 u1) u1) (+ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (cos (* 314159265359/50000000000 u2)) (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (* u2 u2) -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ 1 u1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg (* 314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) 314159265359/50000000000 (/ (PI) 2) 2)

rewrite148.0ms (3.7%)

Memory
22.7MiB live, 114.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06184473
06624001
038363856
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
176 → 254
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(literal -314159265359/50000000000 binary32)
u2
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(+.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
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(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx u1 #s(hole binary32 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 u1))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ 1 u1) #s(hole binary32 1))
#s(approx (+ 1 u1) #s(hole binary32 (+ 1 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1)))))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (sqrt (/ 1 u1))))))))))))
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#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (pow u2 2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 1))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ 1 u1)))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (/ (+ 1 (* -1 u1)) u1)))
#s(approx (/ 1 u1) #s(hole binary32 (/ 1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))))
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#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))))
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#s(approx (/ u1 (- 1 u1)) #s(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (* (+ 1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (+ 1 u1) #s(hole binary32 u1))
#s(approx (+ 1 u1) #s(hole binary32 (* u1 (+ 1 (/ 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (sqrt -1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (pow u2 2) (* u1 (sqrt -1)))) (* (pow u2 2) (sqrt -1)))))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 u1)))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 -1))
#s(approx (- (/ 1 u1) 1) #s(hole binary32 (- (/ 1 u1) 1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 3/8 (sqrt -1))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* 98696044010906577398881/16000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 3/8 (sqrt -1)))) u1)) (+ (* -1/2 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (sqrt -1)) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (sqrt -1))) (* -3/8 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 3/8 (* (pow u2 2) (sqrt -1)))) u1)) (* -1/2 (* (pow u2 2) (sqrt -1)))) u1)) (* (pow u2 2) (sqrt -1)))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx u2 #s(hole binary32 u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 1))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
#s(approx (neg (* 314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) u1))))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(-.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (+ 1 u1) u1) u1)
#s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))
#s(approx (+ 1 u1) #s(literal 1 binary32))
#s(approx (+ 1 u1) (+.f32 #s(literal 1 binary32) u1))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1))) (sqrt.f32 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32))) u1 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)))) (*.f32 u1 u1))) (sqrt.f32 u1)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) u1 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)))) u1 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)))) (*.f32 u1 u1))) (sqrt.f32 u1)))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1)))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 u2 u2) (sqrt.f32 u1) (*.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (*.f32 u2 u2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 u2 u2) (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (*.f32 u1 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) u1 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (*.f32 u2 u2))) (*.f32 u1 u1) (*.f32 (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (- (/ 1 u1) 1) u1) #s(literal 1 binary32))
#s(approx (* (- (/ 1 u1) 1) u1) (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))
#s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1))
#s(approx (- (/ 1 u1) 1) (/.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)) u1))
#s(approx (/ 1 u1) (/.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))))
#s(approx (* (+ 1 u1) u1) (*.f32 u1 u1))
#s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1)))
#s(approx (+ 1 u1) u1)
#s(approx (+ 1 u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (fma.f32 (/.f32 (*.f32 u2 u2) (*.f32 u1 u1)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 u2 u2) u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (-.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (+.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (fma.f32 (/.f32 (*.f32 u2 u2) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 #s(literal 5/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (*.f32 u2 u2) u1) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal -5/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1))))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2)))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))))
#s(approx (* (- (/ 1 u1) 1) u1) (neg.f32 u1))
#s(approx (* (- (/ 1 u1) 1) u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
#s(approx (- (/ 1 u1) 1) #s(literal -1 binary32))
#s(approx (- (/ 1 u1) 1) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 #s(literal 5/16 binary32) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (pow.f32 u1 #s(literal -2 binary32))) u1)) #s(literal 1 binary32)))
#s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32))) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) u1))) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (+.f32 (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -296088132032719732196643/40000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 98696044010906577398881/16000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)))) u1) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) u1))) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))) u1))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u2 u2) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (*.f32 (*.f32 #s(literal 3/8 binary32) (*.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1))))
#s(approx (* (- (/ 1 u1) 1) u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) u2 (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx u2 u2)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) #s(literal 1 binary32))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
#s(approx (* u2 u2) (*.f32 u2 u2))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (neg (* 314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (* 314159265359/50000000000 u2) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (*.f32 (-.f32 (pow.f32 u2 #s(literal -2 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
#s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (pow.f32 u2 #s(literal -2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (cos (* 314159265359/50000000000 u2)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) (neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))

eval31.0ms (0.8%)

Memory
-7.0MiB live, 38.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 216 to 1 299 computations (89.4% saved)

prune45.0ms (1.1%)

Memory
8.4MiB live, 58.4MiB allocated; 5ms collecting garbage
Pruning

45 alts after pruning (37 fresh and 8 done)

PrunedKeptTotal
New34113354
Fresh62430
Picked325
Done268
Total35245397
Accuracy
100.0%
Counts
397 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.4%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
98.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
91.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
87.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
87.8%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
83.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
88.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
77.2%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
72.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
70.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
76.8%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
77.0%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
77.5%
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
93.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
92.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
88.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
87.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
91.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
78.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
77.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
79.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
79.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
72.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
75.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
74.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
18.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
72.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
74.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
57.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (fma.f32 (pow.f32 u2 #s(literal -6 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32)))))) (pow.f32 u2 #s(literal 6 binary32)))))
70.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
65.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Compiler

Compiled 3 320 to 1 243 computations (62.6% saved)

regimes153.0ms (3.8%)

Memory
2.3MiB live, 141.2MiB allocated; 7ms collecting garbage
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (PI.f32) #s(literal 2 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -4 binary32)) (fma.f32 (pow.f32 u2 #s(literal -6 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (pow.f32 u2 #s(literal -2 binary32)))))) (pow.f32 u2 #s(literal 6 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
Calls

8 calls:

29.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms
u1
16.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
99.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%1cosTheta_i
99.1%1u1
99.1%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes134.0ms (3.3%)

Memory
-1.2MiB live, 94.5MiB allocated; 51ms collecting garbage
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (+.f32 (neg.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

45.0ms
u1
17.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes94.0ms (2.3%)

Memory
-1.1MiB live, 91.8MiB allocated; 4ms collecting garbage
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

13.0ms
cosTheta_i
12.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
97.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
96.8%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
96.8%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
97.3%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%1cosTheta_i
96.8%2u1
97.4%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes37.0ms (0.9%)

Memory
-13.8MiB live, 35.3MiB allocated; 4ms collecting garbage
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ (* u2 314159265359/50000000000) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

3 calls:

14.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms
u2
Results
AccuracySegmentsBranch
96.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
96.9%2u2
Compiler

Compiled 15 to 19 computations (-26.7% saved)

regimes78.0ms (1.9%)

Memory
36.9MiB live, 83.5MiB allocated; 2ms collecting garbage
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(approx (+ (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(approx (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* u2 u2) (sqrt (/ u1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

11.0ms
u1
10.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.6%1cosTheta_i
93.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.6%1u1
93.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.6%1u2
93.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes62.0ms (1.6%)

Memory
-17.4MiB live, 76.1MiB allocated; 4ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

9.0ms
u2
8.0ms
u1
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
91.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.3%1u1
91.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.3%1cosTheta_i
91.3%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes62.0ms (1.5%)

Memory
-8.7MiB live, 83.6MiB allocated; 13ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms
u1
Results
AccuracySegmentsBranch
87.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.8%1cosTheta_i
87.8%1u2
87.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.8%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes43.0ms (1.1%)

Memory
8.0MiB live, 53.8MiB allocated; 5ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
Calls

8 calls:

10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
u2
Results
AccuracySegmentsBranch
87.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.8%1u1
87.8%1cosTheta_i
87.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.8%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes41.0ms (1%)

Memory
4.9MiB live, 50.8MiB allocated; 6ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
85.5%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
83.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
83.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
84.3%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%1cosTheta_i
83.7%2u1
85.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
85.5%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes30.0ms (0.8%)

Memory
-14.1MiB live, 42.5MiB allocated; 3ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (* (+ 1 u1) u1) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* u2 u2) (sqrt (/ u1 (- 1 u1)))) -98696044010906577398881/5000000000000000000000) (/ (sqrt u1) (sqrt (- 1 u1)))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (*.f32 u2 u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 #s(approx (- (/ 1 u1) 1) (/.f32 #s(literal 1 binary32) u1)) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

7 calls:

6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
u2
Results
AccuracySegmentsBranch
79.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.1%1u1
82.7%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
83.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
83.4%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes17.0ms (0.4%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
u2
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
79.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
79.1%1u1
79.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
79.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
79.1%1u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes18.0ms (0.4%)

Memory
-17.0MiB live, 30.6MiB allocated; 1ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
Calls

8 calls:

3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u2
Results
AccuracySegmentsBranch
74.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
74.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
74.8%1cosTheta_i
74.8%1u2
74.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
74.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
74.8%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes16.0ms (0.4%)

Memory
-21.0MiB live, 26.7MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
u2
Results
AccuracySegmentsBranch
72.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.9%1u1
72.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.9%1cosTheta_i
72.9%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes13.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
Calls

8 calls:

2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u1
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
72.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.8%1u2
72.8%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.8%1cosTheta_i
72.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.8%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes10.0ms (0.3%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Accuracy

Total -15.0b remaining (-135.6%)

Threshold costs -15b (-135.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 #s(approx (+ 1 u1) u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Calls

8 calls:

1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
u1
Results
AccuracySegmentsBranch
65.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
65.4%1u2
65.4%1cosTheta_i
65.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
65.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
65.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
65.4%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.10572647303342819
0.11688979715108871
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00019664976571220905
0.00019953040464315563
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0009056679555214942
0.0009430861100554466
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0009056679555214942
0.0009430861100554466
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify37.0ms (0.9%)

Memory
-17.9MiB live, 29.8MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093443
1112442
2135442
3179442
4345442
52309442
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1700807/8589934592 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 u2 #s(literal 1975685/2147483648 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 u2 #s(literal 1975685/2147483648 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (neg (* 314159265359/50000000000 u2)) (/ (PI) 2)) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 7381975/67108864 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1700807/8589934592 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 u2 #s(literal 1975685/2147483648 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 u2 #s(literal 1975685/2147483648 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

derivations191.0ms (4.8%)

Memory
-16.2MiB live, 88.5MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 443 to 96 computations (78.3% saved)

preprocess47.0ms (1.2%)

Memory
26.5MiB live, 72.9MiB allocated; 3ms collecting garbage
Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 1 092 to 390 computations (64.3% saved)

end0.0ms (0%)

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

Profiling

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