Trowbridge-Reitz Sample, near normal, slope_y

Time bar (total: 11.0s)

analyze245.0ms (2.2%)

Memory
17.2MiB live, 578.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
18.7%0%0%100%0%0%0%6
28.1%0%0%100%0%0%0%7
32.8%0%0%100%0%0%0%8
49.2%0%0%100%0%0%0%9
57.4%0%0%100%0%0%0%10
61.5%0%0%100%0%0%0%11
71.8%0%0%100%0%0%0%12
Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.7s (15.2%)

Memory
24.5MiB live, 2 973.0MiB allocated
Samples
1.3s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 944.0ms
const: 357.0ms (37.8% of total)
ival-mult: 129.0ms (13.7% of total)
ival-sin: 112.0ms (11.9% of total)
ival-<=: 105.0ms (11.1% of total)
ival-div: 67.0ms (7.1% of total)
ival-sqrt: 57.0ms (6% of total)
ival-sub: 43.0ms (4.6% of total)
ival->: 36.0ms (3.8% of total)
ival-and: 30.0ms (3.2% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess48.0ms (0.4%)

Memory
24.0MiB live, 63.0MiB allocated
Algorithm
egg-herbie
Rules
182×associate-*l*
162×associate-*r*
150×sub-neg
148×distribute-lft-neg-in
134×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178101
2132101
324399
447099
585499
6110499
7123899
8131099
9135699
10137299
11137699
01011
01611
12211
22611
33111
43811
54811
66311
78611
810811
911611
1011811
011811
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Symmetry

(abs cosTheta_i)

(negabs u2)

explain116.0ms (1.1%)

Memory
-14.6MiB live, 180.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-u1
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+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
48.0ms512×0valid
Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
const: 7.0ms (23.2% of total)
ival-mult: 6.0ms (19.9% of total)
ival-sin: 6.0ms (19.9% of total)
ival-div: 4.0ms (13.3% of total)
ival-sqrt: 3.0ms (10% of total)
ival-sub: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize37.0ms (0.3%)

Memory
6.3MiB live, 46.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.6%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
26.0ms256×0valid
Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.7% of total)
ival-sin: 3.0ms (16.1% of total)
const: 3.0ms (16.1% of total)
ival-div: 2.0ms (10.8% of total)
ival-sqrt: 2.0ms (10.8% of total)
ival-sub: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
Calls

15 calls:

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

rewrite248.0ms (2.3%)

Memory
-30.9MiB live, 310.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 704×lower-/.f64
3 702×lower-/.f32
3 286×lower-*.f64
3 282×lower-*.f32
2 456×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
01623
14623
223723
3195323
0969223
Stop Event
iter limit
node limit
iter limit
Counts
4 → 195
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Outputs
(pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(neg.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(exp.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(exp.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
(+.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
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(*.f32 (exp.f32 (log.f32 (neg.f32 u1))) (exp.f32 (neg.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))))))
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

simplify433.0ms (3.9%)

Memory
21.0MiB live, 599.2MiB allocated
Algorithm
egg-herbie
Rules
18 550×lower-fma.f64
18 550×lower-fma.f32
6 088×lower-*.f64
6 088×lower-*.f32
3 640×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150769
1447714
21311644
34100600
47980600
08144578
Stop Event
iter limit
node limit
Counts
60 → 59
Calls
Call 1
Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(-.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) (*.f32 u1 (neg.f32 u1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval29.0ms (0.3%)

Memory
-9.9MiB live, 43.7MiB allocated
Compiler

Compiled 5 959 to 960 computations (83.9% saved)

prune52.0ms (0.5%)

Memory
26.5MiB live, 103.2MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New22826254
Fresh000
Picked011
Done000
Total22827255
Accuracy
99.8%
Counts
255 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
98.3%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
74.0%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
87.2%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
84.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
91.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.2%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.9%
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.0%
(*.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.2%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.3%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.9%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
95.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.2%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.8%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.1%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.2%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.0%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.5%
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
95.3%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
93.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Compiler

Compiled 1 208 to 789 computations (34.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize146.0ms (1.3%)

Memory
0.7MiB live, 194.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.0%
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
accuracy98.8%
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.6%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.6%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.6%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.6%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.4%
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy99.4%
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Samples
85.0ms256×0valid
Compiler

Compiled 370 to 38 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 29.0ms (43.8% of total)
ival-div: 14.0ms (21.1% of total)
ival-sqrt: 8.0ms (12.1% of total)
ival-add: 4.0ms (6% of total)
const: 4.0ms (6% of total)
ival-sin: 3.0ms (4.5% of total)
ival-pow: 2.0ms (3% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-24.2MiB live, 54.9MiB allocated
Counts
15 → 240
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))>
#<alt (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))>
#<alt (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (sqrt.f32 u1)>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))>
#<alt (*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))>
#<alt (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))>
Outputs
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
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Calls

60 calls:

TimeVariablePointExpression
7.0ms
u2
@inf
(* (sqrt (/ (neg (* (/ u1 (+ (* u1 u1) 1)) (+ (* u1 u1) 1))) (+ u1 -1))) (sin (* 314159265359/50000000000 u2)))
3.0ms
u2
@0
(* (sqrt (/ 1 (+ (/ 1 u1) -1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (* (pow (/ (+ (* u1 u1) 1) (* (* u1 u1) (+ (* u1 u1) 1))) -1) (/ 1 (+ (* u1 u1) u1)))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
(* (sqrt (/ (neg (* (/ u1 (+ (* u1 u1) 1)) (+ (* u1 u1) 1))) (+ u1 -1))) (sin (* 314159265359/50000000000 u2)))
1.0ms
u2
@0
(* (sqrt (* (pow (/ (+ (* u1 u1) 1) (* (* u1 u1) (+ (* u1 u1) 1))) -1) (/ 1 (+ (* u1 u1) u1)))) (sin (* 314159265359/50000000000 u2)))

rewrite348.0ms (3.2%)

Memory
13.9MiB live, 404.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 002×lower-/.f64
4 988×lower-/.f32
4 468×lower-fma.f64
4 464×lower-fma.f32
3 600×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035159
065155
1229143
2156796
0856295
Stop Event
iter limit
node limit
iter limit
Counts
15 → 777
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.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))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))) (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sin.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(neg.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 u1 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (neg.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 u1) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (neg.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(*.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))))
(*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
u1
(neg.f32 (neg.f32 u1))
(exp.f32 (log.f32 u1))
(exp.f32 (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1 binary32)))
(+.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fabs.f32 u1)
(fabs.f32 (neg.f32 u1))
(pow.f32 u1 #s(literal 1 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal -1/4 binary32))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) u1 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (neg.f32 u1))
(-.f32 #s(literal 0 binary32) (/.f32 u1 #s(literal -1 binary32)))
(-.f32 (/.f32 (/.f32 (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(-.f32 (/.f32 (*.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (-.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (-.f32 (*.f32 u1 (*.f32 u1 u1)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 u1 #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) (*.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32)) #s(literal 1 binary32))))
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simplify421.0ms (3.8%)

Memory
14.5MiB live, 806.1MiB allocated
Algorithm
egg-herbie
Rules
15 188×lower-fma.f64
15 188×lower-fma.f32
7 376×lower-*.f64
7 376×lower-*.f32
4 580×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04833227
115242934
247632726
081442612
Stop Event
iter limit
node limit
Counts
240 → 224
Calls
Call 1
Inputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
u1
(* u1 (+ 1 (* -1 (pow u1 2))))
(* u1 (+ 1 (* (pow u1 2) (- (pow u1 2) 1))))
(* u1 (+ 1 (* (pow u1 2) (- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1))))
(/ 1 u1)
(/ (- 1 (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (/ 1 (pow u1 2))) u1)
(/ (- (+ 1 (/ 1 (pow u1 4))) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 (pow u1 2)) 1) u1))
(* -1 (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) u1))
(* -1 (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) u1))
u1
u1
u1
u1
u1
u1
u1
u1
u1
u1
u1
u1
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (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))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (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))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(* 314159265359/50000000000 (* (* u1 u2) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
u1
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
1
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
(/ 1 (pow u1 2))
Outputs
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
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(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))))
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
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(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u1
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 (*.f32 u1 u1) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))
(fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 u1))) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1)) #s(literal 1 binary32))))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -3/8 binary32)) u1)) u1))
(+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* 1/2 (sin (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -5/16 binary32) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 3/8 binary32))) (neg.f32 u1))) u1))
(* 314159265359/50000000000 (* (* u1 u2) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))))))
(*.f32 u2 (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))))))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (+ u1 (pow u1 2)))))
(*.f32 u1 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
u1
(* u1 (+ 1 (* -1 u1)))
(fma.f32 u1 (neg.f32 u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(fma.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)
1
#s(literal 1 binary32)
(- 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
1
#s(literal 1 binary32)
(- 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
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(/ 1 (pow u1 2))
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(/ 1 (pow u1 2))
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(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))
(/ 1 (pow u1 2))
(/.f32 #s(literal 1 binary32) (*.f32 u1 u1))

eval121.0ms (1.1%)

Memory
32.5MiB live, 256.6MiB allocated
Compiler

Compiled 27 757 to 4 323 computations (84.4% saved)

prune221.0ms (2%)

Memory
-18.6MiB live, 365.4MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 067291 096
Fresh101121
Picked325
Done011
Total1 080431 123
Accuracy
99.9%
Counts
1 123 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2)))
84.1%
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.3%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
84.1%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
74.0%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
73.9%
(*.f32 (/.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
84.3%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
84.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
80.8%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
79.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
76.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
84.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
84.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
67.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
91.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.2%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.2%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
95.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
66.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
95.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.5%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
93.6%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
74.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
73.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
71.7%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
76.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.3%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
73.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
95.1%
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
76.6%
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
74.0%
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
71.0%
(*.f32 u2 (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
93.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
69.8%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
71.8%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
67.7%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Compiler

Compiled 1 583 to 1 055 computations (33.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize284.0ms (2.6%)

Memory
-7.6MiB live, 272.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
accuracy98.9%
(fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
accuracy98.9%
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
accuracy98.8%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32))
accuracy99.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
accuracy99.0%
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
accuracy99.4%
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy99.2%
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
accuracy99.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
accuracy98.9%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.1%
(*.f32 (sqrt.f32 u1) u2)
accuracy98.8%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
accuracy99.6%
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.5%
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
Samples
215.0ms256×0valid
Compiler

Compiled 336 to 43 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
const: 105.0ms (53.4% of total)
ival-mult: 48.0ms (24.4% of total)
ival-sqrt: 26.0ms (13.2% of total)
ival-div: 7.0ms (3.6% of total)
ival-add: 5.0ms (2.5% of total)
ival-sin: 3.0ms (1.5% of total)
ival-sub: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory
-3.8MiB live, 73.1MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))>
#<alt (*.f32 (sqrt.f32 u1) u2)>
#<alt (sqrt.f32 u1)>
#<alt (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))>
#<alt (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))>
#<alt (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))>
#<alt (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))>
#<alt (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32))>
#<alt (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))>
#<alt (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))>
#<alt (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))>
Outputs
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
#<alt (* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt 314159265359/50000000000>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
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#<alt (+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 u1))))) (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))))))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (/ 1 u1)))>
#<alt (- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (/ 942477796077/400000000000 (pow u1 2)))))) (* 314159265359/100000000000 (/ 1 u1)))>
#<alt (- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* -5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (/ 942477796077/400000000000 (pow u1 2))))))) (+ (* 314159265359/100000000000 (/ 1 u1)) (* 314159265359/160000000000 (/ 1 (pow u1 3)))))>
#<alt (- (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/50000000000)>
#<alt (- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000) u1))) 314159265359/50000000000)>
#<alt (- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (+ (* -1 (/ (- (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 942477796077/400000000000) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1))) 314159265359/50000000000)>
#<alt (- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000) u1)) (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 942477796077/400000000000) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1))) 314159265359/50000000000)>
#<alt (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))>
#<alt (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))>
#<alt (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))>
#<alt (+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))>
#<alt (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)>
#<alt (- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)>
#<alt (- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)>
#<alt (- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* -5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 3))) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))))) 31006276680305942139213528068663279/750000000000000000000000000000000)>
#<alt (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)))>
#<alt (+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)))>
#<alt (+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)) (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))>
#<alt (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
#<alt (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
u2
@inf
(/ (sqrt (- 1 u1)) (* (* 314159265359/50000000000 u2) (sqrt u1)))
3.0ms
u1
@0
(+ (* u1 (* (sqrt (/ 1 (+ (* u1 u1) u1))) 314159265359/50000000000)) (* (* u2 u2) (* (sqrt (/ 1 (+ (* u1 u1) u1))) (* u1 (+ (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)))))
2.0ms
u1
@0
(* (sqrt u1) (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
1.0ms
u1
@inf
(sqrt (+ (/ 1 u1) -1))
1.0ms
u1
@-inf
(* (sqrt u1) (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))

rewrite543.0ms (5%)

Memory
-0.8MiB live, 552.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 130×lower-fma.f64
6 122×lower-fma.f32
4 202×lower-*.f64
4 178×lower-*.f32
3 770×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035185
067185
1245173
21659171
08283164
Stop Event
iter limit
node limit
iter limit
Counts
18 → 523
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(neg.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal -314159265359/50000000000 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal -314159265359/50000000000 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal -314159265359/50000000000 binary32)) #s(literal -1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 (*.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (pow.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))) #s(literal -1/2 binary32)))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) u2)
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 #s(literal -1 binary32)))
(sqrt.f32 u1)
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(+.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))) (*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (sqrt.f32 u1)) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))))
(+.f32 (*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 u2 (sqrt.f32 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1))))
(fma.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(fma.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)) (*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 u2 (sqrt.f32 u1))))
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(*.f32 (*.f32 (/.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/28125000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (*.f32 (/.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 u1)))
(*.f32 (/.f32 u1 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 u1)))
(*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (sqrt.f32 u1)))
(*.f32 (/.f32 (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))

simplify682.0ms (6.2%)

Memory
13.6MiB live, 686.2MiB allocated
Algorithm
egg-herbie
Rules
10 938×lower-fma.f64
10 938×lower-fma.f32
7 406×lower-*.f64
7 406×lower-*.f32
2 892×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06505660
120405107
267095090
081334752
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
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314159265359/50000000000
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(+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (+ (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)))
(+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* -314159265359/100000000000 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 u1))))) (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))))))))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (/ 1 u1)))
(- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (/ 942477796077/400000000000 (pow u1 2)))))) (* 314159265359/100000000000 (/ 1 u1)))
(- (+ 314159265359/50000000000 (+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* -5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (/ 942477796077/400000000000 (pow u1 2))))))) (+ (* 314159265359/100000000000 (/ 1 u1)) (* 314159265359/160000000000 (/ 1 (pow u1 3)))))
(- (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/50000000000)
(- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000) u1))) 314159265359/50000000000)
(- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (+ (* -1 (/ (- (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 942477796077/400000000000) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1))) 314159265359/50000000000)
(- (+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000) u1)) (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 942477796077/400000000000) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1))) 314159265359/50000000000)
(* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* -1/2 (* (sqrt (pow u1 3)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* -5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 3))) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)) (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
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(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(* 314159265359/50000000000 (* (sqrt u1) u2))
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(*.f32 u2 (sqrt.f32 u1))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
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(*.f32 u2 (sqrt.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
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(sqrt.f32 u1)
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(sqrt.f32 u1)
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(sqrt.f32 u1)
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(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 u1) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(*.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) (/.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (fma.f32 (sqrt.f32 u1) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (*.f32 (sqrt.f32 u1) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* (pow u2 5) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 5) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(*.f32 (+.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (neg.f32 (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (neg.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))))
(* -1 (* (pow u2 5) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (neg.f32 (+.f32 (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
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(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 50000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2)))
(*.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) u2))
(/ (+ (* -25000000000/314159265359 (* (sqrt (pow u1 3)) (/ 1 u2))) (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2)))) u1)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) u2) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal 50000000000/314159265359 binary32)))) u1)
(/ (+ (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2))) (* (pow u1 2) (+ (* -25000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2))) (* -6250000000/314159265359 (* (sqrt u1) (/ 1 u2)))))) u1)
(/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 (/.f32 #s(literal 1 binary32) u2) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -25000000000/314159265359 binary32) (*.f32 (sqrt.f32 u1) #s(literal -6250000000/314159265359 binary32)))) (*.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 (sqrt.f32 u1) u2))) u1)
(/ (+ (* 50000000000/314159265359 (* (sqrt u1) (/ 1 u2))) (* (pow u1 2) (+ (* -25000000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2))) (* (pow u1 2) (+ (* -6250000000/314159265359 (* (sqrt (/ 1 (pow u1 3))) (/ 1 u2))) (* -3125000000/314159265359 (* (sqrt (/ 1 u1)) (/ 1 u2)))))))) u1)
(/.f32 (fma.f32 u1 (*.f32 u1 (fma.f32 (*.f32 u1 u1) (*.f32 (/.f32 #s(literal 1 binary32) u2) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -6250000000/314159265359 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -3125000000/314159265359 binary32)))) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -25000000000/314159265359 binary32)) u2))) (*.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 (sqrt.f32 u1) u2))) u1)
(* 50000000000/314159265359 (/ (sqrt -1) u2))
(/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 50000000000/314159265359 binary32)) u2)
(+ (* 50000000000/314159265359 (/ (sqrt -1) u2)) (* 25000000000/314159265359 (/ 1 (* u1 (* u2 (sqrt -1))))))
(fma.f32 #s(literal 50000000000/314159265359 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u2) (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u2 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (* 50000000000/314159265359 (/ (sqrt -1) u2)) (/ 25000000000/314159265359 (* u1 (* u2 (sqrt -1))))) (/ 6250000000/314159265359 (* (pow u1 2) (* u2 (pow (sqrt -1) 3)))))
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(- (+ (* 50000000000/314159265359 (/ (sqrt -1) u2)) (+ (/ 25000000000/314159265359 (* u1 (* u2 (sqrt -1)))) (* 3125000000/314159265359 (/ 1 (* (pow u1 3) (* u2 (pow (sqrt -1) 5))))))) (* 6250000000/314159265359 (/ 1 (* (pow u1 2) (* u2 (pow (sqrt -1) 3))))))
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(/ 50000000000/314159265359 (* u2 (sqrt -1)))
(/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32))))
(- (* 50000000000/314159265359 (/ 1 (* u2 (sqrt -1)))) (* 25000000000/314159265359 (/ 1 (* u1 (* u2 (sqrt -1))))))
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(+ (* -1 (/ (+ (* 6250000000/314159265359 (/ 1 (* u1 (* u2 (sqrt -1))))) (* 25000000000/314159265359 (/ 1 (* u2 (sqrt -1))))) u1)) (* 50000000000/314159265359 (/ 1 (* u2 (sqrt -1)))))
(-.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 6250000000/314159265359 binary32) (*.f32 u2 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) u1))
(+ (* -1 (/ (+ (/ 3125000000/314159265359 (* (pow u1 2) (* u2 (sqrt -1)))) (+ (/ 6250000000/314159265359 (* u1 (* u2 (sqrt -1)))) (* 25000000000/314159265359 (/ 1 (* u2 (sqrt -1)))))) u1)) (* 50000000000/314159265359 (/ 1 (* u2 (sqrt -1)))))
(-.f32 (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 25000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 #s(literal 3125000000/314159265359 binary32) (*.f32 u1 (*.f32 u2 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 #s(literal 6250000000/314159265359 binary32) (*.f32 u2 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) u1))
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 50000000000/314159265359 (* (sqrt (/ (- 1 u1) u1)) (/ 1 u2)))
(/.f32 (*.f32 #s(literal 50000000000/314159265359 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) u2)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
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(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32))) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u1)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u1) (*.f32 (*.f32 u2 u2) (/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 3/8 binary32)) (*.f32 u1 u1)))))
(+ (* -1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* -5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(fma.f32 (*.f32 u2 u2) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u1) (fma.f32 (*.f32 u2 u2) (/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -5/16 binary32)) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (/.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 3/8 binary32)) (*.f32 u1 u1))))))
(* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)))
(fma.f32 (*.f32 u2 u2) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (+ (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (/.f32 (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal 3/8 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1)))) (neg.f32 u1)))
(+ (* -1 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 (fma.f32 (*.f32 u2 u2) (*.f32 #s(literal 5/16 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1)) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal -3/8 binary32)))) u1)) (neg.f32 u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* -314159265359/100000000000 (sqrt (/ 1 u1))) (+ (* -1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 u2) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
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(* 314159265359/50000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
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(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ u1 (pow u2 4)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u1) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* 1/2 (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* (sqrt u1) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (*.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 3/8 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 u1)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(- (+ (* -1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)) (+ (* -5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 3))) (+ (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) (pow u1 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2))))) 31006276680305942139213528068663279/750000000000000000000000000000000)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) (fma.f32 #s(literal -5/16 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 (*.f32 u1 u1))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal 3/8 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u1 u1)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 1/2 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 3/8 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)))
(-.f32 (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 3/8 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1))) u1))
(+ (* -1 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* -1 (/ (+ (* -1 (/ (+ (* -3/8 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 5/16 (/ (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000) u1))) u1)) (* -1/2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) u1)))
(-.f32 (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (/.f32 (fma.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -3/8 binary32) (*.f32 #s(literal 5/16 binary32) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1))) (neg.f32 u1))) u1))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u1 (*.f32 u2 u2)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u1 (*.f32 u2 u2)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 u1 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u1 (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2))))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ u1 (pow u2 2)) (sqrt (/ 1 (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (+ u1 (pow u1 2))))))))
(*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 u1 (*.f32 u2 u2)) (*.f32 u1 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))

eval118.0ms (1.1%)

Memory
-25.1MiB live, 178.3MiB allocated
Compiler

Compiled 26 704 to 2 352 computations (91.2% saved)

prune244.0ms (2.2%)

Memory
3.7MiB live, 363.0MiB allocated
Pruning

58 alts after pruning (52 fresh and 6 done)

PrunedKeptTotal
New90429933
Fresh122335
Picked235
Done033
Total91858976
Accuracy
99.9%
Counts
976 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.1%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
91.4%
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
73.0%
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
84.2%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
76.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
98.3%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
67.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
73.1%
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
74.0%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
84.1%
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
72.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
84.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
73.1%
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
84.3%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
67.8%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
80.8%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
79.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
76.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
84.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
84.4%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
67.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
91.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.2%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.2%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
95.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
66.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
73.0%
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
73.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
71.7%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
5.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
10.8%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
76.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.8%
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
95.3%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
4.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
76.6%
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
74.0%
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
93.5%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
93.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
10.8%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
66.2%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
71.8%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
84.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
67.8%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
67.7%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
92.3%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
Compiler

Compiled 1 981 to 1 355 computations (31.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize148.0ms (1.4%)

Memory
22.5MiB live, 353.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
accuracy99.2%
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
accuracy99.1%
(*.f32 u2 (sqrt.f32 u1))
accuracy98.6%
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
accuracy99.4%
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
accuracy99.2%
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
accuracy99.2%
(*.f32 u1 (*.f32 u1 u1))
accuracy99.0%
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy99.2%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
accuracy99.1%
(*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
accuracy99.0%
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
accuracy98.4%
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.0%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
accuracy99.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
accuracy99.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
Samples
90.0ms256×0valid
Compiler

Compiled 255 to 42 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 25.0ms (34.6% of total)
ival-div: 18.0ms (24.9% of total)
const: 16.0ms (22.1% of total)
ival-sqrt: 5.0ms (6.9% of total)
ival-add: 4.0ms (5.5% of total)
ival-sin: 3.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-25.1MiB live, 53.0MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))>
#<alt (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))>
#<alt (sqrt.f32 u1)>
#<alt (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))>
#<alt (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))>
#<alt (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))>
#<alt (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))>
#<alt (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))>
#<alt (*.f32 u1 (*.f32 u1 u1))>
#<alt (*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))>
#<alt (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))>
#<alt (/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))>
#<alt (*.f32 u2 (sqrt.f32 u1))>
#<alt (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))>
#<alt (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))>
Outputs
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (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))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (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))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (pow u2 4)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))>
#<alt (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))>
#<alt (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))>
#<alt (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (pow u1 3)>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))>
#<alt (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))>
#<alt (* 314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))>
#<alt (* 314159265359/50000000000 (sqrt u1))>
#<alt (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))>
#<alt (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))>
#<alt (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))>
#<alt (* 314159265359/100000000000 (sqrt (pow u1 3)))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* 314159265359/100000000000 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* (sqrt u1) u2)>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt 314159265359/50000000000>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
#<alt (* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
(/ 1 (/ 1 (sqrt (+ (/ 1 u1) -1))))
1.0ms
u2
@0
(* u2 (+ (* (sqrt (* u1 (* u1 u1))) 314159265359/100000000000) (* (sqrt u1) 314159265359/50000000000)))
1.0ms
u1
@0
(* (sqrt u1) (* u2 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) (* u2 u2)))))
1.0ms
u1
@-inf
(* (sqrt u1) (* u2 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u2 u2) (* u2 u2)))))
1.0ms
u1
@-inf
(* u2 (+ (* (sqrt (* u1 (* u1 u1))) 314159265359/100000000000) (* (sqrt u1) 314159265359/50000000000)))

rewrite451.0ms (4.1%)

Memory
28.5MiB live, 699.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 066×lower-fma.f64
7 060×lower-fma.f32
5 494×lower-*.f64
5 466×lower-*.f32
3 276×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036156
067134
1227121
21246115
08627110
Stop Event
iter limit
node limit
iter limit
Counts
18 → 586
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(sqrt.f32 u1)
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
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(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (fma.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (fma.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) #s(literal -314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))))
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))
(*.f32 (pow.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) #s(literal -1/2 binary32)))

simplify450.0ms (4.1%)

Memory
-9.0MiB live, 900.2MiB allocated
Algorithm
egg-herbie
Rules
13 332×lower-fma.f64
13 332×lower-fma.f32
6 416×lower-*.f64
6 416×lower-*.f32
2 984×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03273008
19952718
233172639
368252628
083642533
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (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))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (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))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* 314159265359/50000000000 (sqrt u1))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(* 314159265359/50000000000 (sqrt u1))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(* 314159265359/100000000000 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(*.f32 (*.f32 u2 u2) (*.f32 u2 u2))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (* (pow u2 5) (pow (sqrt -1) 2))))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(* -314159265359/50000000000 (* (sqrt u1) (pow (sqrt -1) 2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (*.f32 #s(literal 314159265359/100000000000 binary32) u2))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(*.f32 (*.f32 u1 u1) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32)))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(*.f32 (*.f32 u1 u1) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32)))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* 314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) u2))))
(*.f32 (*.f32 u1 u1) (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32)))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) (* u2 (pow (sqrt -1) 2))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(*.f32 u1 (*.f32 u1 (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(*.f32 u1 (*.f32 u1 (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (* u2 (pow (sqrt -1) 2)))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (* u2 (pow (sqrt -1) 2))))))
(*.f32 u1 (*.f32 u1 (*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))))
(* 314159265359/50000000000 (sqrt u1))
(*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(+ (* 314159265359/100000000000 (sqrt (pow u1 3))) (* 314159265359/50000000000 (sqrt u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(* 314159265359/100000000000 (sqrt (pow u1 3)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32))))
(* (pow u1 2) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* 314159265359/50000000000 (sqrt (/ 1 (pow u1 3))))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32))))
(* 314159265359/100000000000 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -314159265359/100000000000 binary32))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))
(* (pow u1 2) (+ (* -314159265359/50000000000 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(*.f32 (*.f32 u1 u1) (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -314159265359/100000000000 binary32))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(*.f32 u2 (fma.f32 (*.f32 u2 (*.f32 u2 (sqrt.f32 u1))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 5)))
(*.f32 (sqrt.f32 u1) (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2)))))))
(*.f32 (pow.f32 u2 #s(literal 5 binary32)) (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(neg.f32 (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal -314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1)) (+ (* -314159265359/50000000000 (* (sqrt u1) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (/ 1 (pow u2 2))))))))
(neg.f32 (*.f32 (pow.f32 u2 #s(literal 5 binary32)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))) (/.f32 (*.f32 (sqrt.f32 u1) #s(literal -314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* -1 (* (sqrt u1) (* u2 (* (pow (sqrt -1) 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* (sqrt u1) u2)
(*.f32 u2 (sqrt.f32 u1))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 u2 (sqrt.f32 u1))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 u2 (sqrt.f32 u1))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 u2 (sqrt.f32 u1))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(*.f32 u2 (sqrt.f32 u1))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))
(* (pow u2 4) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 4) (- (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 314159265359/50000000000 (pow u2 4))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))

eval109.0ms (1%)

Memory
20.7MiB live, 226.9MiB allocated
Compiler

Compiled 22 160 to 1 971 computations (91.1% saved)

prune167.0ms (1.5%)

Memory
-11.6MiB live, 342.8MiB allocated
Pruning

65 alts after pruning (55 fresh and 10 done)

PrunedKeptTotal
New94914963
Fresh64147
Picked145
Done066
Total956651 021
Accuracy
99.9%
Counts
1 021 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
76.2%
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
95.1%
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
91.4%
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
73.0%
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
84.2%
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
98.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
97.4%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))))
76.2%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
98.3%
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
76.3%
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
67.7%
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
67.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
73.1%
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
74.0%
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
84.1%
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
98.1%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.1%
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
84.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
10.8%
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
10.8%
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
84.4%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
76.6%
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
84.3%
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
4.7%
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
67.8%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
67.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
80.8%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
79.1%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
76.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
84.3%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
84.2%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
67.7%
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
91.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
88.2%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.2%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.5%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
95.2%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
91.6%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
98.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
66.1%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
73.0%
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
74.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
73.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
71.7%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
5.0%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
10.8%
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
76.2%
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
71.8%
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
95.3%
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
4.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
76.6%
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
74.0%
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
93.5%
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
93.6%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
10.8%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
66.2%
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
71.8%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
76.6%
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
84.1%
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
67.7%
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
92.3%
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
Compiler

Compiled 2 749 to 1 139 computations (58.6% saved)

regimes282.0ms (2.6%)

Memory
-11.4MiB live, 347.5MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (*.f32 u1 #s(literal 1/2 binary32)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))))
Outputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

58.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
41.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
36.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
28.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u1
98.4%1u2
98.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes227.0ms (2.1%)

Memory
30.7MiB live, 342.4MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 u1 (sqrt.f32 (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

43.0ms
u2
38.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms
cosTheta_i
24.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
98.4%1cosTheta_i
98.4%1u2
98.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
98.4%1u1
98.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.4%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes176.0ms (1.6%)

Memory
12.6MiB live, 329.9MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 u2 (fma.f32 u1 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(*.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
Calls

8 calls:

25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
22.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
21.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
95.3%1u2
95.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
95.3%1cosTheta_i
95.3%1u1
95.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
95.3%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes414.0ms (3.8%)

Memory
-191.5MiB live, 348.1MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 #s(literal 314159265359/100000000000 binary32) u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2)))
(*.f32 u2 (fma.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

273.0ms
cosTheta_i
24.0ms
u2
20.0ms
u1
18.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
95.2%1cosTheta_i
95.2%1u2
95.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
95.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
95.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.2%1u1
95.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
95.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes154.0ms (1.4%)

Memory
14.2MiB live, 367.7MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(/.f32 (*.f32 u2 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (*.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 98696044010906577398881/10000000000000000000000 binary32) (*.f32 u1 #s(literal -98696044010906577398881/2500000000000000000000 binary32))) u2) (*.f32 (sqrt.f32 u1) (-.f32 (*.f32 u1 #s(literal 314159265359/100000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

21.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
21.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
21.0ms
cosTheta_i
20.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
93.6%1u1
93.6%1u2
93.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
93.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
93.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
93.6%1cosTheta_i
93.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
93.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes122.0ms (1.1%)

Memory
-2.0MiB live, 314.7MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(*.f32 u2 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 314159265359/100000000000 binary32) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (fma.f32 (*.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(fma.f32 (*.f32 (*.f32 u2 #s(literal 314159265359/100000000000 binary32)) (sqrt.f32 u1)) u1 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 u2 u2) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 u1) (+.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))) u2)
(/.f32 (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 (*.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 u1 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

16.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
15.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
15.0ms
cosTheta_i
Results
AccuracySegmentsBranch
91.6%1cosTheta_i
91.6%1u1
91.6%1u2
91.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes103.0ms (0.9%)

Memory
-8.3MiB live, 196.4MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
(/.f32 u2 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(/.f32 (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
Outputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))
Calls

8 calls:

16.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms
u1
13.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
u2
Results
AccuracySegmentsBranch
88.4%2u1
88.4%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
88.4%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
89.1%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
84.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.4%1cosTheta_i
89.1%2u2
89.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes45.0ms (0.4%)

Memory
14.1MiB live, 52.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) u2)
Outputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

3 calls:

26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
u2
Results
AccuracySegmentsBranch
89.1%2u2
89.1%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
89.1%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes53.0ms (0.5%)

Memory
-34.0MiB live, 88.2MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 50000000000/314159265359 binary32) (*.f32 u2 (sqrt.f32 u1))))
(/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u2 (sqrt.f32 u1))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)))))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 u2))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u1)) (*.f32 u2 (*.f32 u2 (*.f32 u2 u2)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(*.f32 u2 (fma.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u2))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (*.f32 #s(literal 314159265359/50000000000 binary32) u1)))
Outputs
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

6 calls:

12.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
9.0ms
u2
8.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
87.5%2u1
87.5%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.5%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.8%2u2
87.8%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.5%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes10.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

2 calls:

5.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms
u2
Results
AccuracySegmentsBranch
87.7%2u2
87.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes37.0ms (0.3%)

Memory
0.2MiB live, 77.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

6.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
79.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.1%1cosTheta_i
82.3%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
82.3%2u1
82.3%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
82.3%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
82.6%2u2
82.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes35.0ms (0.3%)

Memory
19.6MiB live, 57.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
Calls

8 calls:

7.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms
u1
Results
AccuracySegmentsBranch
76.6%1cosTheta_i
76.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.6%1u1
76.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
76.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
79.9%2(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
80.2%2u2
80.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes32.0ms (0.3%)

Memory
-22.1MiB live, 21.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal -314159265359/100000000000 binary32))
Outputs
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
Calls

4 calls:

21.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
cosTheta_i
3.0ms
u2
Results
AccuracySegmentsBranch
76.6%1cosTheta_i
76.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.6%1u2
76.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 21 to 17 computations (19% saved)

regimes26.0ms (0.2%)

Memory
-16.1MiB live, 22.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
Outputs
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
Calls

8 calls:

7.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
76.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.6%1u2
76.6%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
76.6%1u1
76.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
76.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
76.6%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes20.0ms (0.2%)

Memory
4.0MiB live, 41.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
Calls

8 calls:

4.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
76.2%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
76.2%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
76.2%1u1
76.2%1u2
76.2%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
76.2%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
76.2%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
76.2%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes18.0ms (0.2%)

Memory
-1.3MiB live, 37.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
Outputs
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
Calls

8 calls:

3.0ms
u1
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
u2
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
67.8%1u1
67.8%1u2
67.8%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
67.8%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
67.8%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
67.8%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
67.8%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
67.8%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Accuracy

Total -0.0b remaining (-0.4%)

Threshold costs -0b (-0.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
Outputs
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Calls

8 calls:

2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
67.7%1u1
67.7%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
67.7%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
67.7%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
67.7%1(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
67.7%1u2
67.7%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
67.7%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354139678180218
0.010021019726991653
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354139678180218
0.010021019726991653
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354275651276112
0.010021187365055084
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354275651276112
0.010021187365055084
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354275651276112
0.010021187365055084
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.009354275651276112
0.010021187365055084
Compiler

Compiled 17 to 17 computations (0% saved)

simplify25.0ms (0.2%)

Memory
-47.3MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Rules
82×*-commutative_binary32
20×+-commutative_binary32
16×sub-neg_binary32
14×neg-sub0_binary32
14×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083341
1133341
2151341
3165341
4175341
5177341
6178341
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32))))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
Outputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (+.f32 u1 #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (neg.f32 u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 (fma.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 u2 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 u2 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (*.f32 u2 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32))))) (*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32))))) (*.f32 u2 (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u1 #s(literal 314159265359/100000000000 binary32)))))
(*.f32 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(*.f32 u2 (*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 314159265359/100000000000 binary32) #s(literal 314159265359/50000000000 binary32))))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(*.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 (sqrt.f32 u1) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 u1)))

soundness1.6s (14.5%)

Memory
24.0MiB live, 1 241.4MiB allocated
Rules
18 550×lower-fma.f64
18 550×lower-fma.f32
15 188×lower-fma.f64
15 188×lower-fma.f32
7 376×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036156
067134
1227121
21246115
08627110
035185
067185
1245173
21659171
08283164
04833227
115242934
247632726
081442612
035159
065155
1229143
2156796
0856295
01023
01623
14623
223723
3195323
0969223
0150769
1447714
21311644
34100600
47980600
08144578
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 860 to 446 computations (48.1% saved)

preprocess135.0ms (1.2%)

Memory
2.1MiB live, 279.7MiB allocated
Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 316 to 570 computations (56.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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