Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 10.0s)

start0.0ms (0%)

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

analyze305.0ms (3%)

Memory
18.4MiB live, 543.0MiB allocated; 67ms 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)

sample2.0s (19.8%)

Memory
78.7MiB live, 2 756.5MiB allocated; 643ms collecting garbage
Samples
1.5s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 498.0ms (40.8% of total)
ival-<=: 184.0ms (15.1% of total)
ival-cos: 122.0ms (10% of total)
ival-mult: 121.0ms (9.9% of total)
ival-sub: 87.0ms (7.1% of total)
ival-div: 82.0ms (6.7% of total)
ival-sqrt: 60.0ms (4.9% of total)
ival-and: 33.0ms (2.7% of total)
ival->: 25.0ms (2% of total)
exact: 5.0ms (0.4% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain203.0ms (2%)

Memory
-22.1MiB live, 217.3MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
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 -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
106.0ms512×0valid
Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 60.0ms (69% of total)
const: 7.0ms (8% of total)
ival-mult: 6.0ms (6.9% of total)
ival-cos: 6.0ms (6.9% of total)
ival-sub: 3.0ms (3.4% of total)
ival-sqrt: 3.0ms (3.4% 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)

preprocess221.0ms (2.2%)

Memory
34.3MiB live, 172.9MiB allocated; 19ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify224.0ms (2.2%)

Memory
-29.0MiB live, 169.1MiB allocated; 22ms 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

localize37.0ms (0.4%)

Memory
21.3MiB live, 62.5MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(sqrt.f32 (/.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)))
accuracy0.1640625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
30.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sub: 8.0ms (36.8% of total)
ival-mult: 3.0ms (13.8% of total)
ival-cos: 3.0ms (13.8% of total)
const: 3.0ms (13.8% of total)
ival-div: 2.0ms (9.2% of total)
ival-sqrt: 2.0ms (9.2% 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)

series26.0ms (0.3%)

Memory
-28.1MiB live, 26.7MiB allocated; 10ms 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
19.0ms
u1
@-inf
((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
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
@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))

simplify188.0ms (1.9%)

Memory
7.6MiB live, 233.1MiB allocated; 38ms 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)))))

rewrite43.0ms (0.4%)

Memory
39.7MiB live, 83.1MiB allocated; 5ms 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)

eval8.0ms (0.1%)

Memory
-28.1MiB live, 18.5MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 525 to 332 computations (78.2% saved)

prune9.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New541569
Fresh000
Picked011
Done000
Total541670
Accuracy
99.8%
Counts
70 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.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)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.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)))
91.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.2%
(*.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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.8%
(*.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)))
90.7%
(*.f32 #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
#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)))))
89.6%
#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)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Compiler

Compiled 639 to 483 computations (24.4% saved)

simplify202.0ms (2%)

Memory
-46.5MiB live, 210.6MiB allocated; 32ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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))
cost-diff0
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
cost-diff0
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff0
#s(approx (/ u1 (- 1 u1)) u1)
cost-diff0
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
cost-diff0
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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) (pow.f32 u1 #s(literal 3 binary32))))
cost-diff0
(sqrt.f32 (*.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))))
cost-diff0
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff1
(*.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)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040313
069313
1124307
2275307
3911303
43529303
08305303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.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 (/.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 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
u1
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
#s(literal 3 binary32)
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(fma.f32 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
#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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(fma.f32 (fma.f32 u1 u1 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 (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
Outputs
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(sqrt.f32 (*.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))))
(sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(*.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 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
u1
(-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u1 #s(literal 3 binary32))
#s(literal 3 binary32)
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))
(fma.f32 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
#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)
(*.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)) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(fma.f32 (fma.f32 u1 u1 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 (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 (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (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)))
(sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.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

localize117.0ms (1.2%)

Memory
1.5MiB live, 188.1MiB allocated; 19ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(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)))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33203125
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
accuracy0.12109375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
accuracy0.15625
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy2.642054332049643
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
accuracy0.12109375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
accuracy0.15625
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy9.701365344394704
#s(approx (/ u1 (- 1 u1)) u1)
accuracy0.0
(-.f32 #s(literal 1 binary32) u1)
accuracy0.12109375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.1640625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy5.817303146800787
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy0.12109375
(sqrt.f32 (*.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))))
accuracy0.15625
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.33822250976844204
(*.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)))
Samples
86.0ms256×0valid
Compiler

Compiled 280 to 33 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 16.0ms (35.1% of total)
ival-add: 6.0ms (13.2% of total)
ival-div: 5.0ms (11% of total)
ival-sqrt: 5.0ms (11% of total)
ival-sub: 4.0ms (8.8% of total)
const: 4.0ms (8.8% of total)
ival-cos: 3.0ms (6.6% of total)
ival-pow: 3.0ms (6.6% 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)

series22.0ms (0.2%)

Memory
4.1MiB live, 49.1MiB allocated; 5ms collecting garbage
Counts
21 → 147
Calls
Call 1
Inputs
(*.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 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.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 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
#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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.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)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (pow u1 3)))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 u1))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#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 (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 -1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 (/ -1 (pow u1 2))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 2)))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 3))) 1) (pow u1 2))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 6))) (+ 1 (/ 1 (pow u1 3)))) (pow u1 2))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (pow u1 4)))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (/ 1 u1)))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))))
#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 (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow u1 3)) (/ 1 (pow u1 6)))) (pow u1 3))) 1) (pow u1 2))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))))
#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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (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 (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (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 (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 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)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
u2
@-inf
((* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (/ u1 (- 1 (pow u1 3))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ 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))) (* 314159265359/50000000000 u2))
3.0ms
u2
@inf
((* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (/ u1 (- 1 (pow u1 3))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ 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))) (* 314159265359/50000000000 u2))
3.0ms
u1
@inf
((* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (/ u1 (- 1 (pow u1 3))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ 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))) (* 314159265359/50000000000 u2))
3.0ms
u2
@0
((* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (/ u1 (- 1 (pow u1 3))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ 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))) (* 314159265359/50000000000 u2))
2.0ms
u1
@-inf
((* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (/ u1 (- 1 (pow u1 3))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (/ 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))) (* 314159265359/50000000000 u2))

simplify217.0ms (2.2%)

Memory
31.8MiB live, 216.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04694671
113014366
252514335
083664037
Stop Event
iter limit
node limit
Counts
147 → 147
Calls
Call 1
Inputs
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (pow u1 3)))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 u1))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#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 (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 -1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* -1 (+ 1 (/ 1 u1)))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 (/ -1 (pow u1 2))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 2)))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 3))) 1) (pow u1 2))))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 3))) (pow u1 6))) (+ 1 (/ 1 (pow u1 3)))) (pow u1 2))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (pow u1 4)))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (/ 1 u1)))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))))
#s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))))
#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 (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) #s(hole binary32 (/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow u1 3)) (/ 1 (pow u1 6)))) (pow u1 3))) 1) (pow u1 2))))
#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 (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) #s(hole binary32 (* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))))
#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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (* (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 (* 314159265359/50000000000 u2) #s(hole binary32 (* 314159265359/50000000000 u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (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 (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 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)))))
Outputs
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 u1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) u1)
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 u1))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (fma.f32 u1 u1 u1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 u1))))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) #s(hole binary32 (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))))
#s(approx (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (sqrt.f32 u1))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) #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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (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 (pow u1 3))) #s(hole binary32 u1))
#s(approx (/ u1 (- 1 (pow u1 3))) u1)
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (pow u1 3)))))
#s(approx (/ u1 (- 1 (pow u1 3))) (+.f32 (pow.f32 u1 #s(literal 4 binary32)) u1))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))
#s(approx (/ u1 (- 1 (pow u1 3))) (+.f32 (+.f32 (pow.f32 u1 #s(literal 4 binary32)) (pow.f32 u1 #s(literal 7 binary32))) u1))
#s(approx (/ u1 (- 1 (pow u1 3))) #s(hole binary32 (* u1 (+ 1 (* (pow u1 3) (+ 1 (* (pow u1 3) (+ 1 (pow u1 3)))))))))
#s(approx (/ u1 (- 1 (pow u1 3))) (fma.f32 (pow.f32 u1 #s(literal 4 binary32)) (+.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 u1 #s(literal 6 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 (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)))))))))
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#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 (+ u1 (pow u1 2)))) (- 1 (pow u1 3)))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (pow u1 3))) (+ (+ (* u1 u1) u1) 1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (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)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (cos (* 314159265359/50000000000 u2)) (cos.f32 (*.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))))

rewrite252.0ms (2.5%)

Memory
20.3MiB live, 302.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040235
069262
1222190
21633190
09188189
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 506
Calls
Call 1
Inputs
(*.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 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.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 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
#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)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.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)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
(*.f32 (/.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))) (/.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3/2 binary32)))))
(*.f32 (/.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (/.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.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 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(*.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 u1 (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 u1 (/.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 u1 u1 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (fma.f32 u1 u1 u1) (neg.f32 u1) (neg.f32 u1)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (neg.f32 u1) (fma.f32 u1 u1 u1) (neg.f32 u1)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (neg.f32 u1) #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (+.f32 (neg.f32 u1) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 (neg.f32 u1) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) (*.f32 (fma.f32 u1 u1 u1) (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (+.f32 (neg.f32 u1) (*.f32 (fma.f32 u1 u1 u1) (neg.f32 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 (neg.f32 u1) #s(literal 1 binary32) (*.f32 (neg.f32 u1) (fma.f32 u1 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u1) (*.f32 (neg.f32 u1) (fma.f32 u1 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (+.f32 (neg.f32 u1) (*.f32 (neg.f32 u1) (fma.f32 u1 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(/.f32 (neg.f32 (*.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 u1 (-.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 (neg.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (neg.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (neg.f32 u1))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.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 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (neg.f32 u1))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (neg.f32 u1))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 2 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (fma.f32 u1 u1 u1) u1) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (hypot.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 3/2 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))))
(/.f32 (hypot.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3/2 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 u1))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) u1)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) (neg.f32 u1))) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)) u1)) (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(/.f32 (sqrt.f32 (*.f32 u1 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 u1 (-.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 u1))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (*.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 (neg.f32 (-.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 (fma.f32 u1 u1 u1)) (sin.f32 (acos.f32 u1)))
(/.f32 (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1)) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))))
(/.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 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 u1))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 1/4 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (-.f32 (log.f32 u1) (log1p.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(*.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) (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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(neg.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(neg.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

eval166.0ms (1.7%)

Memory
-66.9MiB live, 105.8MiB allocated; 54ms collecting garbage
Compiler

Compiled 27 652 to 3 367 computations (87.8% saved)

prune49.0ms (0.5%)

Memory
25.0MiB live, 72.1MiB allocated; 1ms collecting garbage
Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New78133814
Fresh5510
Picked235
Done011
Total78842830
Accuracy
99.9%
Counts
830 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
71.7%
(*.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(approx (/ u1 (- 1 u1)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 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)))
92.4%
(*.f32 (sqrt.f32 (*.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)))) #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))))
99.0%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
94.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
92.4%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
89.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
81.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
98.7%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.6%
(*.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)))
91.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
91.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
83.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
89.2%
(*.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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
67.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
65.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
92.8%
#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)))))
89.6%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)))))
60.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
74.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
60.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.5%
#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)))))
76.6%
#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))))
75.1%
#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))))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
62.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
73.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
89.5%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
81.6%
#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 2 034 to 1 464 computations (28% saved)

simplify146.0ms (1.5%)

Memory
-15.3MiB live, 84.3MiB allocated; 10ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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))) #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))))
cost-diff1
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
cost-diff0
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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
(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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff1
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
cost-diff3
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046339
077333
1127333
2254333
3537333
41394333
56437333
08268327
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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(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)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
u1
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(-.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))) #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 (*.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)
#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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.f32 u2 u2)
u2
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) 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 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (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))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
#s(approx (/ u1 (- 1 u1)) u1)
u1
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
u1
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(-.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))) #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 #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 (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))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.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))
(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 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.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
#s(literal 98696044010906577398881/5000000000000000000000 binary32)
(*.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 u2 #s(literal -314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
u1
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize144.0ms (1.4%)

Memory
30.2MiB live, 120.5MiB allocated; 12ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy0.1640625
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy0.265625
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.296875
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy0.18160880115753777
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
accuracy0.33203125
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
accuracy0.375
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
accuracy2.209019012150747
#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)))
accuracy0.1171875
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
accuracy0.28515625
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy0.30078125
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy12.613036411521975
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
accuracy0.12109375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1))
accuracy5.817303146800787
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
accuracy9.701365344394704
#s(approx (/ u1 (- 1 u1)) u1)
accuracy0.12109375
(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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.33203125
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
accuracy0.37890625
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
Samples
117.0ms256×0valid
Compiler

Compiled 298 to 43 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 45.0ms (45.3% of total)
const: 13.0ms (13.1% of total)
ival-div: 9.0ms (9.1% of total)
ival-sin: 8.0ms (8% of total)
ival-sqrt: 8.0ms (8% of total)
ival-add: 5.0ms (5% of total)
ival-pi: 4.0ms (4% of total)
ival-sub: 4.0ms (4% of total)
ival-cos: 3.0ms (3% 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)

series60.0ms (0.6%)

Memory
-5.8MiB live, 45.2MiB allocated; 10ms collecting garbage
Counts
22 → 192
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (* (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 (/ (+ (* u1 u1) 1) (- 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 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) (- 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 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* -1 u1)))))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 1))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 u1)))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (+ 1 (* 2 u1))))))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 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 (/ 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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 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) (sqrt (- 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) (sqrt (- 1 u1))) #s(hole binary32 (sqrt u1)))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))))
#s(approx (sqrt u1) #s(hole binary32 (sqrt 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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))))))
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#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 (- 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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 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) (sqrt (- 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) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#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 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 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 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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 (* (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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
Calls

9 calls:

TimeVariablePointExpression
37.0ms
u1
@0
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (/ (+ (* u1 u1) 1) (- 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 (* u1 u1))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 314159265359/50000000000 u2))
5.0ms
u1
@-inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (/ (+ (* u1 u1) 1) (- 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 (* u1 u1))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 314159265359/50000000000 u2))
4.0ms
u1
@inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (/ (+ (* u1 u1) 1) (- 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 (* u1 u1))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 314159265359/50000000000 u2))
4.0ms
u2
@-inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (/ (+ (* u1 u1) 1) (- 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 (* u1 u1))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 314159265359/50000000000 u2))
3.0ms
u2
@inf
((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (/ (+ (* u1 u1) 1) (- 1 u1)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 (* u1 u1))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (cos (* 314159265359/50000000000 u2)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (* 314159265359/50000000000 u2))

simplify303.0ms (3%)

Memory
6.7MiB live, 137.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07315967
120445562
085705230
Stop Event
iter limit
node limit
Counts
192 → 192
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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (* (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 (/ (+ (* u1 u1) 1) (- 1 u1)))) #s(hole binary32 (sqrt u1)))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1)))) #s(hole binary32 (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))))
#s(approx (sqrt (/ u1 (/ (+ (* u1 u1) 1) (- 1 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) (- 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 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 u1))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* -1 u1)))))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (- (* -1 u1) 1))))))
#s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) #s(hole binary32 (* u1 (+ 1 (* u1 (- (* u1 (- u1 1)) 1))))))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 1))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 u1)))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (+ 1 (* 2 u1))))))
#s(approx (/ (+ (* u1 u1) 1) (- 1 u1)) #s(hole binary32 (+ 1 (* u1 (+ 1 (* u1 (+ 2 (* 2 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)))))))))))
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#s(approx (* (/ (sqrt u1) (sqrt (- 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)))))))
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#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 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) (sqrt (- 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) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))))
#s(approx (/ (sqrt u1) (sqrt (- 1 u1))) #s(hole binary32 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))))
#s(approx (sqrt u1) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#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 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#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 (- 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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 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) (sqrt (- 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) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#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 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 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 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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 (* (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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#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 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 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)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
#s(approx (sqrt (* (/ u1 (- 1 (* u1 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 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 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 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 (* (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)))))))))
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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 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (sqrt (/ u1 (- 1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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) (sqrt (- 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) (sqrt (- 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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (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))))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 1))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 -98696044010906577398881/5000000000000000000000))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 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 (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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 (* (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) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 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 (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (cos (* 314159265359/50000000000 u2)) #s(hole binary32 (cos (* 314159265359/50000000000 u2))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) #s(hole binary32 (* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))))
#s(approx (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* u2 u2)) 98696044010906577398881/5000000000000000000000) (*.f32 (*.f32 (-.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2))) u2) u2))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#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)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32))))

rewrite121.0ms (1.2%)

Memory
-23.9MiB live, 79.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046237
077241
1245205
01637205
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 218
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #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 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 u1)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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)))
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))
(-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
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(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 3 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32)) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal 98696044010906577398881/5000000000000000000000 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 3 binary32)) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 binary32) (+.f32 (fma.f32 (*.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/750000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32)) (pow.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 2 binary32)))))
(-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

eval56.0ms (0.6%)

Memory
18.7MiB live, 64.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 15 231 to 1 665 computations (89.1% saved)

prune64.0ms (0.6%)

Memory
13.8MiB live, 60.0MiB allocated; 2ms collecting garbage
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New45024474
Fresh132033
Picked325
Done044
Total46650516
Accuracy
99.9%
Counts
516 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(*.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(approx (/ u1 (- 1 u1)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
92.2%
(*.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))))
91.2%
(*.f32 (/.f32 (sqrt.f32 u1) #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
92.6%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
92.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
94.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
89.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
81.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
84.6%
(*.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)))
79.3%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
91.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
83.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
89.2%
(*.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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
67.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
65.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
89.3%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
83.6%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))))
84.7%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
79.3%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 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))))
90.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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))))
89.6%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)))))
62.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32))))
60.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
74.3%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
60.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.5%
#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)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
60.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
76.6%
#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))))
75.1%
#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))))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
62.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
73.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
71.8%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
81.6%
#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 2 523 to 1 834 computations (27.3% saved)

simplify193.0ms (1.9%)

Memory
-19.9MiB live, 164.4MiB allocated; 30ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff0
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff0
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
cost-diff0
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
cost-diff0
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
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))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
cost-diff1
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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 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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff3
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058332
088320
1141316
2303316
3943316
43071316
08345316
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(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)
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))) (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)))
(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))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 u1)
u1
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (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)
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(literal -314159265359/50000000000 binary32)
u2
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (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))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 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))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 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))
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (sqrt.f32 u1))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
u1
#s(literal 1/2 binary32)
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
#s(literal 1/2 binary32)
(PI.f32)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 u1)
u1

localize225.0ms (2.2%)

Memory
-10.7MiB live, 133.5MiB allocated; 14ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
accuracy0.296875
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy0.4416175606271514
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy8.951654863393474
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
accuracy0.2265625
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
accuracy0.2734375
(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))
accuracy3.800916668551746
#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)))
accuracy5.817303146800787
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
accuracy0.12109375
(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))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
accuracy0.33203125
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
accuracy6.0073322323877845
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
accuracy0.0
(fma.f32 u1 u1 u1)
accuracy0.12109375
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy5.155678049970237
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy5.817303146800787
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy0.12109375
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy0.15625
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy0.1640625
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy0.37890625
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
Samples
151.0ms256×0valid
Compiler

Compiled 268 to 42 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-sin: 83.0ms (61.9% of total)
ival-mult: 17.0ms (12.7% of total)
ival-div: 7.0ms (5.2% of total)
ival-sqrt: 7.0ms (5.2% of total)
const: 7.0ms (5.2% of total)
ival-add: 6.0ms (4.5% of total)
ival-sub: 3.0ms (2.2% of total)
ival-cos: 3.0ms (2.2% of total)
ival-pi: 1.0ms (0.7% 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)

series22.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Counts
24 → 166
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#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 (/.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))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(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))) #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))) (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)))
(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))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (- 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 (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (sqrt u1)))
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#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))))
#s(approx (* (* u1 u1) 1/2) #s(hole binary32 (* 1/2 (pow u1 2))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (sqrt (/ 1 u1))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (- 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 (+ (* 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 (* (/ 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* 1/2 (sqrt (pow u1 5)))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))))
#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 (/ 1 u1)) (sqrt u1)) #s(hole binary32 (sqrt u1)))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (- 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 (* (/ 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* -1 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (pow (sqrt -1) 2))))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (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 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt u1) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 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 (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
Calls

9 calls:

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

simplify193.0ms (1.9%)

Memory
8.2MiB live, 182.7MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06035544
117615213
276615181
080594851
Stop Event
iter limit
node limit
Counts
166 → 166
Calls
Call 1
Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (- 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 (+ (* u1 u1) u1) #s(hole binary32 u1))
#s(approx (+ (* u1 u1) u1) #s(hole binary32 (* u1 (+ 1 u1))))
#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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))))
#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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (sqrt u1)))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (+ (sqrt u1) (* u1 (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (pow u1 3))))))))
#s(approx (* (* u1 u1) 1/2) #s(hole binary32 (* 1/2 (pow u1 2))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (sqrt (/ 1 u1))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (/ (+ (sqrt u1) (sqrt (pow u1 3))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (- 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 (+ (* 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 (* (/ 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* 1/2 (sqrt (pow u1 5)))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* (pow u1 3) (+ (sqrt (/ 1 (pow u1 5))) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 (pow u1 3)))))))))
#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 (/ 1 u1)) (sqrt u1)) #s(hole binary32 (sqrt u1)))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* u1 (+ (sqrt (/ 1 u1)) (sqrt (/ 1 (pow u1 3)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (- 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 (* (/ 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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (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 (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1/2 (* (sqrt (pow u1 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (* u1 u1) 1/2) (+ (sqrt (/ 1 u1)) (sqrt u1))) (sqrt u1)) #s(hole binary32 (* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* -1 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (pow (sqrt -1) 2))))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) #s(hole binary32 (* -1 (* u1 (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))))
#s(approx (* (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 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 1/2 (PI)))))))
#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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (* 1/2 (PI))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* -314159265359/50000000000 (* (sqrt u1) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 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 (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
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#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -314159265359/50000000000 binary32)) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 u1))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt u1) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt u1) (sin (* 1/2 (PI)))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) (fma.f32 (fma.f32 (*.f32 (sqrt.f32 u1) #s(literal -314159265359/50000000000 binary32)) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2)) u2 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 u1))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (fma.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -314159265359/50000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) u2 (*.f32 (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal -314159265359/50000000000 binary32))) u2 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* 1/2 (PI))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
#s(approx (* -314159265359/50000000000 u2) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (* -314159265359/50000000000 u2) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (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))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (- (* 1/2 (PI)) (* 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)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.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 (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) #s(hole binary32 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))
#s(approx (* (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sqrt u1)) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -314159265359/50000000000 u2)))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) #s(hole binary32 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))
#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)))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) #s(hole binary32 (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
#s(approx (sin (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* 1/2 (PI)) (* -314159265359/50000000000 u2)) (*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(hole binary32 (* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))))
#s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32))))

rewrite105.0ms (1%)

Memory
-20.7MiB live, 83.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058284
088260
1270244
01819244
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 292
Calls
Call 1
Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#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 (/.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))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(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))) #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))) (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)))
(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))
(*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))) (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
(-.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(fma.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(+.f32 (*.f32 (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32)) (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
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(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
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(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) u2) #s(literal -314159265359/50000000000 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
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(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32)))
(-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
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(/.f32 (-.f32 (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32)))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
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(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
#s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32))
(/.f32 (-.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (-.f32 (sqrt.f32 u1) (pow.f32 u1 #s(literal -1/2 binary32))))
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(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))) (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))))
(fma.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)))
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(+.f32 (/.f32 (pow.f32 (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal 3 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
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(+.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (sqrt.f32 u1))
(*.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))

eval65.0ms (0.6%)

Memory
-6.9MiB live, 83.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 13 907 to 1 698 computations (87.8% saved)

prune69.0ms (0.7%)

Memory
34.7MiB live, 133.8MiB allocated; 27ms collecting garbage
Pruning

53 alts after pruning (44 fresh and 9 done)

PrunedKeptTotal
New39110401
Fresh53439
Picked235
Done066
Total39853451
Accuracy
99.9%
Counts
451 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(*.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(approx (/ u1 (- 1 u1)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
92.2%
(*.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))))
91.2%
(*.f32 (/.f32 (sqrt.f32 u1) #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.0%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
81.2%
(*.f32 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
92.6%
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
92.0%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
99.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
99.1%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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))))
94.1%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
89.3%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
81.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
84.6%
(*.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)))
79.3%
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
92.5%
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
91.8%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
85.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
83.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
89.3%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
89.2%
(*.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)))
84.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
84.7%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.6%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
67.5%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
65.9%
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
83.6%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))))
79.3%
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 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))))
90.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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))))
89.6%
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)))))
62.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32))))
60.5%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
60.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
81.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.5%
#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)))))
60.1%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
60.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
76.6%
#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))))
75.1%
#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))))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
71.9%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
71.8%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
19.6%
#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)))))
62.7%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)))
72.0%
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
71.9%
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
81.6%
#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 3 566 to 1 361 computations (61.8% saved)

regimes220.0ms (2.2%)

Memory
18.6MiB live, 393.1MiB allocated; 30ms collecting garbage
Counts
83 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
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(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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))))
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(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
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#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (sqrt.f32 u1) #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.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)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (*.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(approx (/ u1 (- 1 u1)) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 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))))
(*.f32 (sqrt.f32 (*.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (*.f32 (sqrt.f32 (-.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (fma.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (*.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (sin.f32 (/.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 u2 u2) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Calls

8 calls:

50.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
37.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
25.0ms
cosTheta_i
23.0ms
u2
22.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
99.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
99.2%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
99.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
99.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
99.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.2%1cosTheta_i
99.2%1u1
99.2%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes131.0ms (1.3%)

Memory
-25.3MiB live, 261.6MiB allocated; 14ms collecting garbage
Counts
63 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(*.f32 (/.f32 (sqrt.f32 u1) #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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (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)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

17.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms
u1
16.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
16.0ms
cosTheta_i
16.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
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%1cosTheta_i
99.1%1u1
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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
99.1%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes112.0ms (1.1%)

Memory
13.6MiB live, 211.7MiB allocated; 16ms collecting garbage
Counts
53 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.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)))
Outputs
(*.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 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
Calls

8 calls:

18.0ms
cosTheta_i
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms
u2
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
98.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.1%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.1%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.5%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.1%1cosTheta_i
98.1%2u1
98.4%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes42.0ms (0.4%)

Memory
-12.9MiB live, 85.0MiB allocated; 4ms collecting garbage
Counts
52 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.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:

14.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
14.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
u2
Results
AccuracySegmentsBranch
98.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.2%2u2
98.1%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 15 to 19 computations (-26.7% saved)

regimes27.0ms (0.3%)

Memory
9.7MiB live, 55.9MiB allocated; 2ms collecting garbage
Counts
50 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

13.0ms
u2
12.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
98.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.2%2u2
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes93.0ms (0.9%)

Memory
-30.5MiB live, 205.6MiB allocated; 13ms collecting garbage
Counts
49 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
Calls

7 calls:

15.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms
u1
13.0ms
u2
12.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
94.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.1%1u1
97.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.4%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes26.0ms (0.3%)

Memory
15.1MiB live, 61.4MiB allocated; 2ms collecting garbage
Counts
48 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
u2
Results
AccuracySegmentsBranch
97.4%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
97.4%2u2
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes97.0ms (1%)

Memory
11.0MiB live, 203.1MiB allocated; 9ms collecting garbage
Counts
46 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
#s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 u2 u2)) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (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 (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)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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))))
Calls

8 calls:

13.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms
cosTheta_i
12.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
94.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.1%1cosTheta_i
94.1%1u1
94.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.1%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes115.0ms (1.1%)

Memory
-8.2MiB live, 192.5MiB allocated; 48ms collecting garbage
Counts
43 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #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))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
Calls

8 calls:

36.0ms
u2
12.0ms
cosTheta_i
12.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms
u1
Results
AccuracySegmentsBranch
94.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
94.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
94.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
94.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
94.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.1%1cosTheta_i
94.1%1u1
94.1%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes90.0ms (0.9%)

Memory
0.7MiB live, 188.2MiB allocated; 12ms collecting garbage
Counts
40 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #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))))
(*.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))))
#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))) (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)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 u1 (/.f32 (-.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 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))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

15.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms
u2
11.0ms
cosTheta_i
10.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
10.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
92.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.7%1cosTheta_i
92.7%1u1
92.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.7%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes64.0ms (0.6%)

Memory
3.8MiB live, 147.6MiB allocated; 9ms collecting garbage
Counts
27 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #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))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

8 calls:

11.0ms
cosTheta_i
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
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%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
89.3%1u1
89.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.3%1cosTheta_i
89.3%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes99.0ms (1%)

Memory
-24.1MiB live, 120.2MiB allocated; 5ms collecting garbage
Counts
25 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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 (*.f32 #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
Calls

8 calls:

36.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
u1
Results
AccuracySegmentsBranch
89.3%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.3%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
89.3%2u1
89.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
89.3%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.6%1cosTheta_i
89.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.6%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes490.0ms (4.9%)

Memory
-51.7MiB live, 187.4MiB allocated; 798ms collecting garbage
Counts
23 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) #s(approx (+ (sqrt (/ 1 u1)) (sqrt u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (*.f32 #s(approx (/ u1 (- 1 (* u1 u1))) u1) (+.f32 #s(literal 1 binary32) u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) 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))))
Outputs
(*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

449.0ms
u1
9.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
88.1%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
88.1%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.1%2u1
88.2%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
88.1%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
88.1%2u2
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes66.0ms (0.7%)

Memory
13.2MiB live, 129.4MiB allocated; 29ms collecting garbage
Counts
19 → 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
Calls

7 calls:

18.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
u2
11.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms
u1
5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
87.6%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.6%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.6%2u1
87.8%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.8%2u2
87.8%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.7%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)

regimes100.0ms (1%)

Memory
-24.6MiB live, 164.0MiB allocated; 54ms 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

33.0ms
u2
20.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
11.0ms
cosTheta_i
5.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
81.7%1cosTheta_i
85.5%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
85.5%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
85.5%2u1
86.0%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.0%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
85.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
85.7%2u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes53.0ms (0.5%)

Memory
37.4MiB live, 87.5MiB allocated; 27ms 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (*.f32 u1 u1) u1))))
(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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))) (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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) u1) (-.f32 #s(literal 1 binary32) u1)))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

29.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
u2
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
81.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
81.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
81.7%1u1
81.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
81.7%1u2
81.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes29.0ms (0.3%)

Memory
-16.6MiB live, 73.0MiB allocated; 12ms 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (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:

10.0ms
u1
4.0ms
(*.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
u2
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
75.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
75.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
75.1%1cosTheta_i
75.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
75.1%1u2
75.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
75.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
75.1%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes17.0ms (0.2%)

Memory
28.1MiB live, 75.1MiB 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 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (/ (+ (* u1 u1) 1) (- 1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
Calls

8 calls:

2.0ms
u1
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
cosTheta_i
2.0ms
u2
Results
AccuracySegmentsBranch
71.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
71.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
71.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
71.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%1u1
71.9%1cosTheta_i
71.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
71.9%1u2
Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes21.0ms (0.2%)

Memory
-2.8MiB live, 47.6MiB allocated; 11ms collecting garbage
Accuracy

Total -13.8b remaining (-115.6%)

Threshold costs -13.8b (-115.6%)

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:

12.0ms
u1
1.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
cosTheta_i
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
62.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
62.7%1u2
62.7%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
62.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
62.7%1cosTheta_i
62.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
62.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
62.7%1u1
Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.06461122632026672
0.07470741122961044
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
-47.4MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.11341583728790283
0.11839745193719864
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.11341583728790283
0.11839745193719864
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.18658465147018433
0.19696450233459473
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.11341583728790283
0.11839745193719864
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00011595986143220216
0.00012350415636319667
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02954469434916973
0.0322592668235302
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.00011595986143220216
0.00012350415636319667
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9990882873535156
0.9991303086280823
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify59.0ms (0.6%)

Memory
18.3MiB live, 111.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127754
1166754
2245754
3420754
41325754
55213754
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 9395241/134217728 binary32)) (*.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 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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)))))
(if (<=.f32 u2 #s(literal 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.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 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 3187671/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))))
(if (<=.f32 u2 #s(literal 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 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))) #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
(if (<=.f32 u2 #s(literal 8246337/68719476736 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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)))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 16106127/536870912 binary32)) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 u2 #s(literal 8246337/68719476736 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16762117/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))
#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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 9395241/134217728 binary32)) (*.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 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) 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)))))
(if (<=.f32 u2 #s(literal 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.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 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 3187671/16777216 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) #s(approx (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))))
(if (<=.f32 u2 #s(literal 15435039/134217728 binary32)) (*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 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))) #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))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (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))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 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))))
(if (<=.f32 u2 #s(literal 8246337/68719476736 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 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)))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 16106127/536870912 binary32)) (*.f32 (sqrt.f32 #s(approx (* (/ u1 (- 1 (* u1 u1))) (+ 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 u2 #s(literal 8246337/68719476736 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16762117/16777216 binary32)) (*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) u1)) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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))))
#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)))

derivations1.9s (18.6%)

Memory
11.9MiB live, 1 424.7MiB allocated; 223ms collecting garbage
Stop Event
fuel
Compiler

Compiled 774 to 132 computations (82.9% saved)

preprocess167.0ms (1.7%)

Memory
25.4MiB live, 170.0MiB allocated; 101ms collecting garbage
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 682 to 398 computations (76.3% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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