Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 8.4s)

start0.0ms (0%)

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

analyze388.0ms (4.6%)

Memory
46.9MiB live, 704.4MiB allocated; 113ms 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)

sample1.7s (20.8%)

Memory
38.8MiB live, 2 432.6MiB allocated; 452ms collecting garbage
Samples
1.2s8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
const: 380.0ms (36.9% of total)
ival-cos: 134.0ms (13% of total)
ival-mult: 111.0ms (10.8% of total)
ival-<=: 102.0ms (9.9% of total)
ival-div: 101.0ms (9.8% of total)
ival-sqrt: 75.0ms (7.3% of total)
ival-sub: 51.0ms (4.9% of total)
ival->: 34.0ms (3.3% of total)
ival-and: 33.0ms (3.2% of total)
exact: 5.0ms (0.5% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain160.0ms (1.9%)

Memory
-17.8MiB live, 233.0MiB allocated; 22ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9999287724494934 1.758745611368795e-7 0.24721652269363403)(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)))
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-cos: 8.0ms (25.1% of total)
const: 7.0ms (22% of total)
ival-mult: 6.0ms (18.9% of total)
ival-div: 4.0ms (12.6% of total)
ival-sub: 3.0ms (9.4% of total)
ival-sqrt: 3.0ms (9.4% 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)

preprocess215.0ms (2.6%)

Memory
18.3MiB live, 162.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
179106
2141106
3225104
4380102
5915102
66416102
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 u2)

(abs cosTheta_i)

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
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.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)

simplify154.0ms (1.8%)

Memory
18.2MiB live, 115.0MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12736
24336
36536
411536
536836
6284736
7797636
0829836
Stop Event
iter limit
node limit
iter 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)))
(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
(*.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))))
(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))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize30.0ms (0.4%)

Memory
-7.5MiB live, 38.4MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.15625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
24.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 3.0ms (19.1% of total)
ival-sub: 3.0ms (19.1% of total)
ival-cos: 3.0ms (19.1% of total)
const: 3.0ms (19.1% of total)
ival-div: 2.0ms (12.7% of total)
ival-sqrt: 2.0ms (12.7% 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)

series11.0ms (0.1%)

Memory
-33.2MiB live, 12.7MiB allocated; 3ms collecting garbage
Counts
5 → 42
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))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #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 (- 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 (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (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)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u2
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u1
@0
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms
u2
@inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify157.0ms (1.9%)

Memory
39.5MiB live, 138.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221107
16691017
228871002
08551964
Stop Event
iter limit
node limit
Counts
42 → 42
Calls
Call 1
Inputs
#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 (- 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 (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 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))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) 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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#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))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #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))) (* (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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#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))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 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 (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) 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))) (*.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))) #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))) (fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 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))) #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))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -3/8 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32)))))
#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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (/.f32 #s(literal -5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 u1 #s(literal 3 binary32)))))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#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))) #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))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))
#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 (sqrt (/ u1 (- 1 u1))) (-.f32 (fma.f32 (/.f32 (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (*.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (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(hole binary32 -1))
#s(approx (/ u1 (- 1 u1)) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (/ u1 (- 1 u1)) (-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 u1)))
#s(approx (- 1 u1) (neg.f32 u1))
#s(approx (- 1 u1) #s(hole binary32 (* u1 (- (/ 1 u1) 1))))
#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))) #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))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1/2 binary32) u1) (*.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))) #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))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 3/8 binary32) u1))) u1)))
#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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32)))) u1)) u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) 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))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.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(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 (sqrt (/ u1 (- 1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -5/16 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (*.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (/ u1 (- 1 u1)) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
#s(approx (- 1 u1) #s(hole binary32 (* -1 (* u1 (- 1 (/ 1 u1))))))
#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))) #s(hole binary32 (sqrt (/ u1 (- 1 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))) #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))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))) #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 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.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))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 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 (* (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)))))

rewrite52.0ms (0.6%)

Memory
-32.4MiB live, 56.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
14928
025028
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 27
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))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(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 (neg.f32 u1)) (sqrt.f32 (neg.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))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.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 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 u1 u1) (+.f32 #s(literal 1 binary32) u1)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 525 to 332 computations (78.2% saved)

prune8.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New581169
Fresh000
Picked011
Done000
Total581270
Accuracy
99.8%
Counts
70 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.0%
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
94.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.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))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
89.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 521 to 369 computations (29.2% saved)

simplify184.0ms (2.2%)

Memory
-44.8MiB live, 137.5MiB allocated; 58ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff0
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
cost-diff5
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))))
cost-diff7
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042320
071302
1133299
2302299
3911291
43186291
57631291
08064286
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
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)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(+.f32 #s(literal 1 binary32) u1)
(-.f32 u1 #s(literal -1 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))) (*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))))
(*.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
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)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.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 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)

localize114.0ms (1.4%)

Memory
-16.0MiB live, 175.4MiB allocated; 16ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.1484375
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.23828125
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.2890625
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.09375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy0.15625
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy3.892546153141454
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy0.1894913086106521
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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))))
accuracy0.41015625
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.42578125
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy2.0879013476767176
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
accuracy0.0
(-.f32 #s(literal 1 binary32) u1)
accuracy0.09375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy6.2987916942531825
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.09375
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
accuracy0.15625
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33431625976844204
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
Samples
84.0ms256×0valid
Compiler

Compiled 273 to 37 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 18.0ms (31.9% of total)
const: 15.0ms (26.6% of total)
ival-sqrt: 6.0ms (10.6% of total)
ival-div: 5.0ms (8.9% of total)
ival-cos: 5.0ms (8.9% of total)
ival-add: 4.0ms (7.1% of total)
ival-sub: 2.0ms (3.5% 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)

series49.0ms (0.6%)

Memory
12.3MiB live, 57.9MiB allocated; 4ms collecting garbage
Counts
24 → 178
Calls
Call 1
Inputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
Outputs
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 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 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 u1))) (+ 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 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 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#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 (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))))))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
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#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (pow u1 3))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* -98696044010906577398881/10000000000000000000000 (* (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 (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 -1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 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 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 u1))) (+ 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 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 u1))) #s(hole binary32 (/ -1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) 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 (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))
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#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (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)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 3)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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))))))
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#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt -1))))
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#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)))))
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#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)))))
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#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
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#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))))))))
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#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
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#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))))
#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))))))))
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#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
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#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
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#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (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 (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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
15.0ms
u2
@0
((* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
7.0ms
u1
@inf
((* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
6.0ms
u1
@0
((* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
5.0ms
u1
@-inf
((* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
5.0ms
u2
@inf
((* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (/ u1 (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* 314159265359/50000000000 u2) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))

simplify190.0ms (2.3%)

Memory
32.4MiB live, 215.1MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08156516
124705901
099415543
Stop Event
iter limit
node limit
Counts
178 → 178
Calls
Call 1
Inputs
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 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 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 u1))) (+ 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 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 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#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 (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))))))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt u1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (pow u1 3))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt u1)) (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* -98696044010906577398881/10000000000000000000000 (* (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 (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 -1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 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 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 u1))) (+ 1 u1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 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 u1))) #s(hole binary32 (/ -1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) 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 (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1))))))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (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)))) (+ (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 2)) (+ (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1))))) (pow u1 3)) (/ (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ 1 (sqrt -1))))) u1))))))) (/ 1/2 (* u1 (sqrt -1))))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt -1))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 98696044010906577398881/10000000000000000000000 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* 98696044010906577398881/10000000000000000000000 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (/ 98696044010906577398881/10000000000000000000000 (* u1 (sqrt -1)))))))
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#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 (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 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 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 u1))) (+ 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 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 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) 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 (- 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 (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (+ (* -1 (/ (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/16000000000000000000000 (sqrt -1))) u1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))) u1)) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))) u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (sqrt -1)) (* (pow u2 2) (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))) u1)) (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/480000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/16000000000000000000000 (sqrt -1))))) u1)) (+ (* 3/8 (sqrt -1)) (* (pow u2 2) (+ (* -296088132032719732196643/40000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/400000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))))))) u1)) (+ (* -1/2 (sqrt -1)) (* (pow u2 2) (+ (* -9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (sqrt -1)))))) u1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt -1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#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 (- 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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))))
#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 (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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 (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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 (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -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 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (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 (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) u1)
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1) u1 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 u1))) (+ 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (* u1 u1))) u1)
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#s(approx (/ u1 (- 1 (* u1 u1))) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1) u1 #s(literal 1 binary32)) 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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#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))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 (*.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1) u1 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#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))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (- 1 u1) #s(hole binary32 1))
#s(approx (- 1 u1) #s(literal 1 binary32))
#s(approx (- 1 u1) #s(hole binary32 (+ 1 (* -1 u1))))
#s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (sqrt (/ 1 u1))) (+ (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1))))) (* 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1))))))))))))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) u1 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) u1 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/300000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 u1 u1) (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
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#s(approx (cos (* -314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#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)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#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)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* -314159265359/50000000000 u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 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 (* (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 (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4))))))))
#s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.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)) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (cos (* -314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))

rewrite414.0ms (4.9%)

Memory
-16.6MiB live, 82.0MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042260
071259
1210223
01359220
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 303
Calls
Call 1
Inputs
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
Outputs
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))) (-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)))
(/.f32 (+.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) #s(literal 3 binary32))) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 (*.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) u1) (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (neg.f32 u1) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 u1 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 u1)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32))
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(*.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))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(sqrt.f32 u1)
(pow.f32 u1 #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 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)))))
(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)))))
(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 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #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(literal -98696044010906577398881/5000000000000000000000 binary32))
(/.f32 (*.f32 (sqrt.f32 u1) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))

eval56.0ms (0.7%)

Memory
12.3MiB live, 100.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 20 714 to 2 083 computations (89.9% saved)

prune50.0ms (0.6%)

Memory
1.7MiB live, 47.6MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New51131542
Fresh516
Picked325
Done011
Total51935554
Accuracy
100.0%
Counts
554 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
93.3%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
89.9%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
94.5%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.6%
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
94.6%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
79.9%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
99.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)) (-.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.0%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.0%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
89.3%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
93.0%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
92.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
92.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
92.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
80.1%
#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)))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
89.3%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
80.1%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
Compiler

Compiled 1 841 to 1 262 computations (31.5% saved)

simplify128.0ms (1.5%)

Memory
-29.7MiB live, 117.6MiB allocated; 24ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
cost-diff0
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff0
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
cost-diff0
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
cost-diff0
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
#s(approx (/ u1 (- 1 u1)) u1)
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050364
084364
1141364
2323364
3931364
42675364
55738364
08190364
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 u1 u1)
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
u1
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(sqrt.f32 u1)
u1
#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)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 u1 u1)
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
u1
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 u1)
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 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
(fma.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
u1
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(*.f32 u1 u1)
(sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))
(-.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(sqrt.f32 u1)

localize162.0ms (1.9%)

Memory
23.5MiB live, 259.4MiB allocated; 22ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.2109375
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.2890625
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.3203125
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy0.33822250976844204
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))
accuracy0.38671875
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.3909250609259798
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)))
accuracy2.0879013476767176
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
accuracy0.1484375
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
accuracy0.1484375
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.23828125
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy3.357062614657017
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy0.09375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
accuracy6.2987916942531825
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
accuracy8.366472567818498
#s(approx (/ u1 (- 1 u1)) u1)
accuracy0.09375
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy0.1328125
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy0.15625
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
125.0ms256×0valid
Compiler

Compiled 311 to 44 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-cos: 37.0ms (35% of total)
ival-mult: 21.0ms (19.8% of total)
ival-sqrt: 16.0ms (15.1% of total)
const: 13.0ms (12.3% of total)
ival-div: 7.0ms (6.6% of total)
ival-add: 7.0ms (6.6% of total)
ival-sub: 3.0ms (2.8% 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)

series87.0ms (1%)

Memory
-24.8MiB live, 77.6MiB allocated; 9ms collecting garbage
Counts
23 → 218
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(sqrt.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))
Outputs
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 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 (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))))
#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 (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 -1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 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))))))
#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)))
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#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
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#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (* (sqrt (/ 1 u1)) (sqrt -1))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ -1 u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (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 (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000) (* u1 (sqrt -1)))) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
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#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
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#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (sqrt -1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt -1) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (sqrt -1)) (* -5/16 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (+ (* 3/8 (sqrt -1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (+ (* -1/2 (sqrt -1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#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 (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* -3/8 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))))))))
#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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (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 (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ 1 (- 1 u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -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 (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (/ 1 (pow u2 4))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
Calls

9 calls:

TimeVariablePointExpression
52.0ms
u2
@-inf
((* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)))
9.0ms
u1
@inf
((* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)))
6.0ms
u1
@-inf
((* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)))
4.0ms
u2
@inf
((* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)))
4.0ms
u1
@0
((* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (+ (* u1 u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (sqrt (/ u1 (- 1 (* u1 u1)))) (/ u1 (- 1 (* u1 u1))) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* -314159265359/50000000000 u2) (* 314159265359/50000000000 u2) (sqrt (- 1 u1)) (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)))

simplify197.0ms (2.4%)

Memory
7.0MiB live, 234.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09578653
128997906
088127528
Stop Event
iter limit
node limit
Counts
218 → 218
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 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 (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))))
#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (pow u1 2)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))))
#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 (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* (sqrt u1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 -1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt -1) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
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#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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)))))
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#s(approx (sqrt (/ u1 (- 1 (* u1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))))
#s(approx (/ u1 (- 1 (* u1 u1))) #s(hole binary32 (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#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 (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* -3/8 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)) u1)) (* 3/8 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* -1/2 (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* 1/2 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* -3/8 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) u1)) (* 3/8 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (* -1/2 (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))))))))
#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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (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 (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ 1 (- 1 u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -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 (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (/ 1 (pow u2 4))))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
Outputs
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.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)))) u1 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (sqrt.f32 u1))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 u1 u1 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) u1)
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 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))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) 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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#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))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.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))) #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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.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)))) u1 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#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))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 u1 u1) (sqrt.f32 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 (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.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)))) u1 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt u1) (sqrt.f32 u1))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))))))))
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#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (/ 1 (pow u2 4))))))))
#s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (pow.f32 u2 #s(literal 4 binary32))))) (pow.f32 u2 #s(literal 4 binary32))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (*.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)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2)))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) (*.f32 (*.f32 (pow.f32 u2 #s(literal 4 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) #s(hole binary32 (* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))
#s(approx (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2)) (*.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (pow.f32 u2 #s(literal 4 binary32))))

rewrite128.0ms (1.5%)

Memory
4.0MiB live, 151.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050274
084278
1245243
01686241
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 249
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(fma.f32 u1 u1 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(sqrt.f32 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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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) (*.f32 u1 u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (acos.f32 u1)))
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 u1 u1 u1))) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (acos.f32 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 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))))
(*.f32 (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 u1 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (-.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (+.f32 (pow.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 3 binary32))) (fma.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 (neg.f32 u1) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) u1)))
(/.f32 (*.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (neg.f32 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
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(/.f32 (*.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (*.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)) (*.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 u1)) (*.f32 (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(+.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (neg.f32 u2)) (neg.f32 u2))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (fabs.f32 u2)) (fabs.f32 u2))
(*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)) u2)
(*.f32 (neg.f32 u2) (*.f32 (neg.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (fabs.f32 u2) (*.f32 (fabs.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2))
(*.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) u2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))) (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 (*.f32 u2 u2) #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2))) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 2 binary32)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32))))

eval82.0ms (1%)

Memory
13.2MiB live, 97.8MiB allocated; 14ms collecting garbage
Compiler

Compiled 17 330 to 1 909 computations (89% saved)

prune68.0ms (0.8%)

Memory
-11.0MiB live, 87.7MiB allocated; 16ms collecting garbage
Pruning

45 alts after pruning (38 fresh and 7 done)

PrunedKeptTotal
New44518463
Fresh72027
Picked145
Done033
Total45345498
Accuracy
100.0%
Counts
498 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.3%
(/.f32 (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
93.3%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
94.5%
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
94.5%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
92.6%
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
84.4%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
81.6%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
70.1%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
94.6%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
79.9%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
89.9%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
88.7%
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
99.0%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.0%
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.0%
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
88.9%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
88.5%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
79.8%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
89.3%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
95.0%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
93.0%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
89.2%
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
80.1%
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
92.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
92.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
80.1%
#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)))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
Compiler

Compiled 2 298 to 1 605 computations (30.2% saved)

simplify173.0ms (2.1%)

Memory
5.7MiB live, 192.3MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
cost-diff0
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff0
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
cost-diff0
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
cost-diff0
#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)))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(*.f32 (sqrt.f32 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))))
cost-diff0
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 u2 u2)
cost-diff0
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
cost-diff0
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
cost-diff0
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
cost-diff0
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff4
(/.f32 (*.f32 u1 u1) u1)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056385
091385
1143361
2293361
3613361
42200361
08653361
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
u1
(/.f32 (*.f32 u1 u1) u1)
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) (*.f32 u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 1 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)
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 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))))
(sqrt.f32 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)))
(fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 u2)
u2
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(literal 1/2 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
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1)))
#s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(fma.f32 u1 u1 u1)
u1
(/.f32 (*.f32 u1 u1) u1)
u1
(*.f32 u1 u1)
(-.f32 #s(literal 1 binary32) (*.f32 u1 u1))
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 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 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 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)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 1 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)
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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 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))))
(*.f32 #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))) (sqrt.f32 u1))
(sqrt.f32 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 (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)))
(fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(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 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(*.f32 u2 u2)
u2
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
#s(literal 1/2 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
(sqrt.f32 u1)

localize155.0ms (1.8%)

Memory
39.2MiB live, 278.4MiB allocated; 13ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.3203125
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
accuracy3.3340859742311166
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
accuracy0.15426505115753777
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
accuracy0.23828125
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.42578125
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
accuracy2.1175369191358198
#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)))
accuracy0.09375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.125
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.15625
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy3.357062614657017
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
accuracy0.0
(fma.f32 u1 u1 u1)
accuracy0.09375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy3.892546153141454
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy6.2987916942531825
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy0.09375
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
accuracy0.1328125
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
accuracy0.15625
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.2890625
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
123.0ms256×0valid
Compiler

Compiled 266 to 45 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 39.0ms (37.2% of total)
ival-div: 28.0ms (26.7% of total)
const: 15.0ms (14.3% of total)
ival-sqrt: 7.0ms (6.7% of total)
ival-add: 5.0ms (4.8% of total)
ival-cos: 5.0ms (4.8% of total)
ival-sub: 3.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-18.2MiB live, 83.9MiB allocated; 23ms collecting garbage
Counts
26 → 178
Calls
Call 1
Inputs
(/.f32 (*.f32 u1 u1) u1)
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 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))))
(sqrt.f32 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)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
Outputs
#s(approx (/ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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 (- 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 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
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#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))))
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#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 1))
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#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt -1)))
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#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 -1))
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#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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 (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (/ (cos (* -314159265359/50000000000 u2)) u1)))))
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#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 (* u1 (+ 1/2 (/ 1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) 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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* u1 (+ (* -1 (/ (cos (* -314159265359/50000000000 u2)) u1)) (* -1/2 (cos (* -314159265359/50000000000 u2))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))))))))
#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)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (cos (* -314159265359/50000000000 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 (* (cos (* -314159265359/50000000000 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 (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 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 1))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ 1 (- 1 u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (* 1/2 u1))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 1/2 u1)))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ 1 (* 1/2 u1)))))))))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))
#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)) (sqrt (/ u1 (- 1 u1)))) #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 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 u1)))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
u2
@-inf
((/ (* u1 u1) u1) (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) (cos (* -314159265359/50000000000 u2)) (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (* u2 u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (+ (* 1/2 u1) 1) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* -314159265359/50000000000 u2))
5.0ms
u1
@0
((/ (* u1 u1) u1) (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) (cos (* -314159265359/50000000000 u2)) (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (* u2 u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (+ (* 1/2 u1) 1) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* -314159265359/50000000000 u2))
4.0ms
u2
@inf
((/ (* u1 u1) u1) (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) (cos (* -314159265359/50000000000 u2)) (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (* u2 u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (+ (* 1/2 u1) 1) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* -314159265359/50000000000 u2))
3.0ms
u1
@-inf
((/ (* u1 u1) u1) (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) (cos (* -314159265359/50000000000 u2)) (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (* u2 u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (+ (* 1/2 u1) 1) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* -314159265359/50000000000 u2))
2.0ms
u1
@inf
((/ (* u1 u1) u1) (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) (cos (* -314159265359/50000000000 u2)) (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (* u2 u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (+ (* 1/2 u1) 1) (* 314159265359/50000000000 u2) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (* -314159265359/50000000000 u2))

simplify180.0ms (2.1%)

Memory
22.1MiB live, 159.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06395744
118575185
089384918
Stop Event
iter limit
node limit
Counts
178 → 178
Calls
Call 1
Inputs
#s(approx (/ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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 (- 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 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))))
#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 1))
#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 (+ 1 (* 1/2 u1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 -1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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 (+ (* u1 u1) u1) #s(hole binary32 (pow u1 2)))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* (pow u1 2) (+ 1 (/ 1 u1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (/ (cos (* -314159265359/50000000000 u2)) u1)))))
#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 (* 1/2 u1)))
#s(approx (+ (* 1/2 u1) 1) #s(hole binary32 (* u1 (+ 1/2 (/ 1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) 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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* -1 (* u1 (+ (* -1 (/ (cos (* -314159265359/50000000000 u2)) u1)) (* -1/2 (cos (* -314159265359/50000000000 u2))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2))))))))))))
#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)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (cos (* -314159265359/50000000000 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 (* (cos (* -314159265359/50000000000 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 (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 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 1))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (* u2 u2) #s(hole binary32 (pow u2 2)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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 (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ 1 (- 1 u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (* 1/2 u1))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 1/2 u1)))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ 1 (* 1/2 u1)))))))))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))
#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)) (sqrt (/ u1 (- 1 u1)))) #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 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 u1)))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
Outputs
#s(approx (/ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (/ (* u1 u1) u1) u1)
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (sqrt.f32 u1))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1)))
#s(approx (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 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 (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 u1 u1 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) 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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#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))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.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))) #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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
#s(approx (sqrt (/ u1 (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#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))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 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 (sqrt (/ u1 (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1)))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 u1)) u1)
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) u1)
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ u1 (- 1 u1)))) #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))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (*.f32 u1 u1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #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) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u1) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) 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 (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt u1) (sqrt.f32 u1))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
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#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
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#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (sqrt u1)))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))))
#s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1)))
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#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
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#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
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#s(approx (* (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt 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)))))))))))
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#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (sqrt (/ 1 (- 1 u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))))
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#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (* 1/2 u1))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 1/2 u1)))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (+ 1 (+ (* 1/2 u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (+ 1 (* 1/2 u1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ 1 (* 1/2 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (+ 1 (* 1/2 u1)))))))))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))
#s(approx (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* 314159265359/50000000000 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* -314159265359/50000000000 u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (- 1 (pow u1 2)))))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 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 (* (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)) (sqrt (/ u1 (- 1 u1)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 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)) #s(hole binary32 (cos (* -314159265359/50000000000 u2))))
#s(approx (cos (* -314159265359/50000000000 u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) #s(hole binary32 (* (pow u2 2) (- (/ 1 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
#s(approx (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.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)) (sqrt (- 1 u1))) (sqrt u1)) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (*.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)) (sqrt (- 1 u1))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 u1)))))
#s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) u2) u2))

rewrite205.0ms (2.4%)

Memory
-2.9MiB live, 141.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056302
091302
1250281
21629281
010024280
Stop Event
iter limit
node limit
iter limit
Counts
26 → 358
Calls
Call 1
Inputs
(/.f32 (*.f32 u1 u1) u1)
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 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))))
(sqrt.f32 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)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
Outputs
u1
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (sin.f32 (acos.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (sin.f32 (acos.f32 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))))) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (*.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)))) (sin.f32 (acos.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (sin.f32 (acos.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))))) (hypot.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 u1)))
(*.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) #s(literal 1/2 binary32)) (hypot.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 u1)))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))))) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)))) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (sin.f32 (acos.f32 u1)))
(pow.f32 (exp.f32 (log.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (sin.f32 (acos.f32 u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))))) (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))
(/.f32 (*.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))))))
(/.f32 (neg.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))
(neg.f32 (/.f32 (neg.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1))) (fma.f32 u1 u1 #s(literal 1 binary32))))
(neg.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(*.f32 (neg.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
(pow.f32 (exp.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1 binary32))
(pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (-.f32 (*.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32))))
(-.f32 (/.f32 (*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(-.f32 (/.f32 (*.f32 #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))) (/.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)))))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(+.f32 (/.f32 (*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal -9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
(*.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)))

eval100.0ms (1.2%)

Memory
-18.4MiB live, 76.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 17 345 to 2 405 computations (86.1% saved)

prune100.0ms (1.2%)

Memory
-11.8MiB live, 81.6MiB allocated; 4ms collecting garbage
Pruning

52 alts after pruning (44 fresh and 8 done)

PrunedKeptTotal
New54119560
Fresh82533
Picked325
Done167
Total55352605
Accuracy
100.0%
Counts
605 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.9%
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
93.3%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
94.5%
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
84.4%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
81.6%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
70.1%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
92.6%
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
94.6%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
89.0%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
79.9%
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
99.0%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
89.9%
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
88.7%
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.3%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.0%
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.4%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
88.0%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (/.f32 u1 (sqrt.f32 u1)))
88.5%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
73.9%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
79.8%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
85.1%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
83.5%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
80.6%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
72.6%
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
94.9%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
93.0%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.3%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
89.0%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
68.2%
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
95.0%
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
94.8%
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
80.1%
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
92.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
80.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
80.1%
#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)))))
76.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
74.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
72.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
72.4%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
63.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (-.f32 u1 (*.f32 u1 u1)))))
63.1%
#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))))
19.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
64.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
72.2%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
Compiler

Compiled 3 604 to 1 379 computations (61.7% saved)

regimes214.0ms (2.5%)

Memory
5.2MiB live, 241.8MiB allocated; 14ms collecting garbage
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (/.f32 u1 (sqrt.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.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 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 #s(approx (+ (* u1 u1) u1) (fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.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))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (*.f32 (*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (-.f32 (pow.f32 u1 #s(literal 4 binary32)) (*.f32 u1 u1)) (-.f32 (*.f32 u1 u1) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2)) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (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:

42.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
37.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
31.0ms
cosTheta_i
23.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
21.0ms
u1
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)

regimes188.0ms (2.2%)

Memory
1.3MiB live, 156.4MiB allocated; 40ms collecting garbage
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
Outputs
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

48.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
37.0ms
u1
28.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
14.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.6%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.0%1cosTheta_i
98.4%2u1
98.6%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes124.0ms (1.5%)

Memory
12.3MiB live, 152.5MiB allocated; 18ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
Outputs
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1))
Calls

7 calls:

26.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
14.0ms
u1
Results
AccuracySegmentsBranch
95.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
95.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.0%1u1
95.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes65.0ms (0.8%)

Memory
-19.3MiB live, 73.9MiB allocated; 5ms collecting garbage
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
Outputs
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

3 calls:

26.0ms
u2
24.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
98.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.3%2u2
Compiler

Compiled 8 to 14 computations (-75% saved)

regimes53.0ms (0.6%)

Memory
22.3MiB live, 71.6MiB allocated; 6ms collecting garbage
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

3 calls:

25.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms
u2
Results
AccuracySegmentsBranch
98.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.2%2u2
Compiler

Compiled 8 to 14 computations (-75% saved)

regimes144.0ms (1.7%)

Memory
-24.7MiB live, 164.8MiB allocated; 10ms collecting garbage
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
Calls

7 calls:

28.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms
u2
24.0ms
cosTheta_i
13.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
95.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
95.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.0%1cosTheta_i
95.0%1u1
95.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
95.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
95.0%1u2
Compiler

Compiled 21 to 33 computations (-57.1% saved)

regimes138.0ms (1.6%)

Memory
13.4MiB live, 245.9MiB allocated; 31ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (/.f32 u1 (sqrt.f32 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)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #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))) (fma.f32 (fma.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.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)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ (+ (* u1 u1) u1) (- 1 (* u1 u1))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
Outputs
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

31.0ms
cosTheta_i
21.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
94.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.9%1u2
94.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.9%1cosTheta_i
94.9%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes78.0ms (0.9%)

Memory
25.4MiB live, 218.4MiB allocated; 12ms collecting garbage
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(approx (- (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) 98696044010906577398881/5000000000000000000000) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (+ (* (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1))))) (* u2 u2)) (sqrt (/ u1 (- 1 u1)))) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))))
Outputs
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
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)))
9.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
93.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
93.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.0%1cosTheta_i
93.0%1u1
93.0%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes64.0ms (0.8%)

Memory
-30.3MiB live, 158.3MiB allocated; 7ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 u1 #s(literal -1 binary32))))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal 1 binary32))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
Outputs
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

9.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms
u1
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
89.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.3%1cosTheta_i
89.3%1u1
89.3%1u2
89.3%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)

regimes43.0ms (0.5%)

Memory
21.6MiB live, 115.2MiB allocated; 3ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (sqrt (/ u1 (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (* (* (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000) (sqrt (/ u1 (- 1 u1)))) (* u2 u2))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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)))))
Outputs
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

6.0ms
cosTheta_i
6.0ms
(/.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
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
87.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%1cosTheta_i
87.5%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.5%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.4%2u1
87.5%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes35.0ms (0.4%)

Memory
7.4MiB live, 97.3MiB allocated; 5ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
Outputs
(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms
u2
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
u1
Results
AccuracySegmentsBranch
83.9%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
83.9%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
83.9%2u1
85.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
85.2%2u2
85.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
84.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes124.0ms (1.5%)

Memory
30.6MiB live, 109.6MiB allocated; 32ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 u1 (fma.f32 u1 u1 u1)) u1))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ (+ (* u1 u1) u1) (- 1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

65.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
35.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
u2
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
80.1%1cosTheta_i
80.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
80.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
80.1%1u1
80.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
80.1%1u2
80.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes70.0ms (0.8%)

Memory
-33.0MiB live, 66.3MiB allocated; 46ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
Calls

8 calls:

43.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
u2
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
cosTheta_i
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
74.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
74.9%1u2
74.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
74.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
74.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
74.9%1u1
74.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.9%1cosTheta_i
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes20.0ms (0.2%)

Memory
0.9MiB live, 47.5MiB allocated; 3ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
Outputs
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
Calls

8 calls:

4.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
cosTheta_i
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
72.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
72.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.6%1cosTheta_i
72.6%1u1
72.6%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes18.0ms (0.2%)

Memory
5.2MiB live, 52.3MiB allocated; 1ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 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)) (-.f32 u1 (*.f32 u1 u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
Calls

8 calls:

3.0ms
u2
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 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
cosTheta_i
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
72.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
72.5%1u2
72.5%1cosTheta_i
72.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
72.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
72.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.5%1u1
72.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes10.0ms (0.1%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Accuracy

Total -14.6b remaining (-128.9%)

Threshold costs -14.6b (-128.9%)

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

8 calls:

1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
64.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
64.6%1cosTheta_i
64.6%1u2
64.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
64.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
64.6%1u1
64.6%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)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.10267268121242523
0.14118783175945282
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.10267268121242523
0.14118783175945282
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.10267268121242523
0.14118783175945282
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.10267268121242523
0.14118783175945282
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch15.0ms (0.2%)

Memory
-48.7MiB live, 1.4MiB allocated; 18ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.036472342908382416
0.03688698261976242
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999919533729553
0.9999921917915344
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify51.0ms (0.6%)

Memory
20.8MiB live, 65.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107661
1136661
2202661
3323661
4795661
53502661
Stop Event
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)))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4898947/134217728 binary32)) (*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 8388541/8388608 binary32)) (/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #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 (/.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)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
Outputs
(*.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 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 u1)))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 16106127/134217728 binary32)) #s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4898947/134217728 binary32)) (*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 (fma.f32 (fma.f32 #s(literal -98696044010906577398881/10000000000000000000000 binary32) u1 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))) (sqrt.f32 u1)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 8388541/8388608 binary32)) (/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) #s(approx (sqrt (- 1 u1)) #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 (/.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)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
(*.f32 #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (* (+ (* 1/2 u1) 1) (cos (* -314159265359/50000000000 u2))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))

derivations1.0s (12.3%)

Memory
-7.4MiB live, 725.4MiB allocated; 1.0s collecting garbage
Stop Event
fuel
Compiler

Compiled 661 to 112 computations (83.1% saved)

preprocess107.0ms (1.3%)

Memory
-2.6MiB live, 175.2MiB allocated; 61ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 432 to 334 computations (76.7% saved)

end0.0ms (0%)

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

Profiling

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